Finding the Fourth Proportional to 5,613,572,944,758, 7,746,776,148,716.20 and 3,110,737,822,770.80
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Solution
The fourth proportional to 5,613,572,944,758, 7,746,776,148,716.20 and 3,110,737,822,770.80 is: 4,292,843,400,717.41
Step by Step Solution
- Step 1: Write the proportion equation
5,613,572,944,758 : 7,746,776,148,716.20 = 3,110,737,822,770.80 : x - Step 2: Convert to fraction form
5,613,572,944,758/7,746,776,148,716.20 = 3,110,737,822,770.80/x - Step 3: Cross multiply
5,613,572,944,758x = 7,746,776,148,716.20 × 3,110,737,822,770.80 - Step 4: Simplify right side
5,613,572,944,758x = 24,098,189,570,350,195,392,118,784 - Step 5: Solve for x
x = 24,098,189,570,350,195,392,118,784/5,613,572,944,758 - Step 6: Final answer
x = 4,292,843,400,717.41
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.