It is incompatible with our human rights to eliminate inherited fortunes. The only way we can achieve that goal is by separating children from their parents from birth and letting them live in randomly chosen boarding schools until they become adults and even then we must forbid them from ever meeting their parents lest they inherit an unfair advantage. There is also a technical limitation: Children always inherit the DNA of their parents so even with the utmost care it is inherently impossible to correct this injustice.

By the way there is a reason why my answer is so extreme: inheritance starts as soon as you are born, not just when your parents die