I don't know how much Paris will actually come into. Her grandfather, Barron Hilton was worth $1 billion in 2006. However, Paris's Dad Rick Hilton is the 6th of 8 children--and the 4th son. Plus, Barron could follow in his father's footsteps and leave a huge chunk (if not the bulk) of his monies to the Catholic Church and other charities--Barron is already a huge donor. (Conrad had left the bulk of his estate to the Catholic Church and Barron sued over it and recouped some. His sister, Francesca ('Princess' Zsa Zsa's daughter), lost her case though and received nothing.)
BTW, since Liz Taylor often comes up in jewelry discussions (and owns some of Wallis's pieces) her first husband was Conrad's son (Barron's older brother) Conrad Jr.