WordNet sense 1 (powerfully persuasive):

cogent, telling

WordNet sense 2 (tending or intended or having the power to induce action or belief):

persuasive

WordNet sense 3 (of great gravity or crucial import; requiring serious thought):

grievous, grave

WordNet sense 4 (of great significance or value):

important, of import

WordNet sense 5 (marked by great psychological weight; weighted down especially with sadness or troubles or weariness):

heavy

WordNet sense 6 (excessively fat):

corpulent, obese, rotund

WordNet sense 7 (having much flesh (especially fat)):

fat