Finding the Fourth Proportional to 3,033,302,311,957.20, 4,549,493,743,819.70 and 825,550,503,203.40
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Solution
The fourth proportional to 3,033,302,311,957.20, 4,549,493,743,819.70 and 825,550,503,203.40 is: 1,238,200,635,236.94
Step by Step Solution
- Step 1: Write the proportion equation
3,033,302,311,957.20 : 4,549,493,743,819.70 = 825,550,503,203.40 : x - Step 2: Convert to fraction form
3,033,302,311,957.20/4,549,493,743,819.70 = 825,550,503,203.40/x - Step 3: Cross multiply
3,033,302,311,957.20x = 4,549,493,743,819.70 × 825,550,503,203.40 - Step 4: Simplify right side
3,033,302,311,957.20x = 3,755,836,849,531,073,549,303,808 - Step 5: Solve for x
x = 3,755,836,849,531,073,549,303,808/3,033,302,311,957.20 - Step 6: Final answer
x = 1,238,200,635,236.94
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.