The second names of all three of their daughters are also the names of the last 3 Dutch queens : Amalia 's for her grandmother , Queen Beatrix , Alexia 's for her great-grandmother , Queen Juliana and Ariane 's for her great-great-grandmother , Queen Wilhelmina . The second names of all three of their daughters are after Dutch queens : Amalia 's for her grandmother , Queen Beatrix , Alexia 's for her great-grandmother , Queen Juliana and Ariane 's for her great-great-grandmother , Queen Wilhelmina .