Looking for symmetry in a relationship is a waste of time. Trying to find someone who is equal to you in every way, except for being of the opposite sexual orientation and desires therein, you’ll be looking forever.
Looking for synchronicity in a relationship is also a waste of time. Even if you do ignore wanting an equal and instead focus on finding someone who fits in perfectly with your life, and vice-versa, you’ll be forever disappointed.
Instead of looking for a perfect fit, find the imperfect one that makes you want to change things so that it does fit.