Finding the Fourth Proportional to 11,569,536,799,400, 15,965,963,389,260 and 6,366,965,468,394.30
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Solution
The fourth proportional to 11,569,536,799,400, 15,965,963,389,260 and 6,366,965,468,394.30 is: 8,786,413,780,570.53
Step by Step Solution
- Step 1: Write the proportion equation
11,569,536,799,400 : 15,965,963,389,260 = 6,366,965,468,394.30 : x - Step 2: Convert to fraction form
11,569,536,799,400/15,965,963,389,260 = 6,366,965,468,394.30/x - Step 3: Cross multiply
11,569,536,799,400x = 15,965,963,389,260 × 6,366,965,468,394.30 - Step 4: Simplify right side
11,569,536,799,400x = 101,654,737,569,066,037,708,587,008 - Step 5: Solve for x
x = 101,654,737,569,066,037,708,587,008/11,569,536,799,400 - Step 6: Final answer
x = 8,786,413,780,570.53
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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.