According to Bloomberg MacKenzie Bezos becomes the fourth richest woman in the world via the Amazon position, worth ~$35.75 billion, and the 25th richest person overall.
Francoise Bettencourt Meyers, whose mother owned 1/3 of L'Oreal until her death a few years ago, is the richest woman in the world ($53.6b). After that is Jacqueline Mars (Mars candy empire) and Alice Walton (Walmart heir).
MacKenzie is only 48 years old, it'll be interesting to see what she pursues with her time and money.