I think an INFJ 4w3 might be a great match. The reason is that: 1) INFJ-ENTP can have a yin-yang, soul-mates dynamic and 2) Type 4s with type 3s can also feel like soul-mates. In support of the latter, here's some info from the enneagram institute website on relationships between type 4s and 3s:
What Each Type Brings to the Relationship
These two types can form something of a complementary relationship, with each bringing important qualities to the relationship that the other generally lacks. Enneagram Fours can teach Threes how to talk about themselves on a deeper level and help acknowledge and process their feelings. They can also bring Threes more sensitivity, a feeling for beauty and for the non-practical but fulfilling aspects of life. Finding the Three's heart's desire is an extremely important area of self-awareness in which Fours can play a helpful role to Threes. Fours can bring a sense of style and presentation, rich communication, and sense of refinement. Threes model many of the qualities that Fours would like to develop in themselves, and Threes are well-suited to helping Fours gain new skills. Threes can bring a good deal of tact and diplomacy to handling Fours' emotional reactions and their sometimes too-sensitive feelings and self-doubts. Knowing what to say and when to say it-and what not to say—to a Four can be crucial for building trust in the relationship and avoiding inadvertent episodes when either feels humiliated or embarrassed. Threes can bring a sense of hope and ambition to the relationship, practical goal-setting, coaching and behavior management techniques that help Fours get out of a slump or a period of low energy. Threes can coach Fours on how to get on with practical matters and to act professionally despite the shifts in their feelings and self-doubts.
Since both types are driven by (often unconscious) feelings and reactions, this can be an intense and passionate coupling. Both are aware of "image" issues and about how others perceive them, and so this couple will be noteworthy for its energy, flair, sense of style, and enjoyment of the finer things of life. They may both feel a connection with the other that goes beyond words or reason into another realm as if they had known each other from a previous existence or that the other is some kind of soul mate.