These individual Churches, whether of the East or the West, although they differ somewhat among themselves in rite (to use the current phrase), that is, in liturgy, ecclesiastical discipline, and spiritual heritage, are, nevertheless, each as much as the others, entrusted to the pastoral government of the Roman Pontiff, the divinely appointed successor of St. Peter in primacy over the universal Church. They are consequently of equal dignity, so that none of them is superior to the others as regards rite and they enjoy the same rights and are under the same obligations, also in respect of preaching the Gospel to the whole world (cf. Mark 16, 15) under the guidance of the Roman Pontiff.
A few things. First note the term “pastoral government,” regarding the pope. I’m curious as to the pedigree of that term.
Also note the sense of both “rights” and “responsibilities” regarding the qualities of activity in any Church.