A triangle is inscribed in an ellipse whose equation is 9x2 + 16y2 - 216x - 320y + 2320 = 0. One vertex of the triangle (point A) is at (12, 16) while the two vertices (B and C) lie on the lower half of the ellipse. The side containing vertex B and vertex C is parallel to the x-axis. Find the area of the largest triangle formed.

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