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I wouldn't know, but I wonder if the Hi-Blast you're doing to Ragu is critical(if you can even hit criticals with magic). Criticals do take quite a bit as you reach higher levels or gain more atk power. And Aquadingen doesn't have anything that protects him from his weakness? Why isn't Aqua's weakness fire?
I don't think Criticals could be the case. The damage numbers I gave were consistent with every casting, and no use of The Omega badge in either case, mainly because I didn't have it on Rebecca. Every casting of Hi-Blast was dealing around the damage I listed.
The game itself says that Aquadingen are weak to Earth, and the damage numbers change to match, compared to other elements. Unless Flying reduces magic, or Aquadingen has traits not shown, it shouldn't take less damage.
Spell card! Diamond Will ~ Unbreakable Determination!
chick badge and sheriff star will greatly increase the damage done by elemental attacks (its not in the description but yah), so if you had it equipped for one fight but not the other, it'd explain the difference