To have greater weight, importance, etc.; = "preponderate".
Early 16th century (in an earlier sense). From classical Latin praeponderāre to outweigh, to be of greater weight, to incline in a particular direction, in post-classical Latin also to overburden (Vetus Latina), to outweigh in importance, to exceed from prae- + ponderāre.
To ponder beforehand, consider in advance.
Early 17th century; earliest use found in John Norden (c1547–1625), cartographer. From pre- + ponder.