Finding the Fourth Proportional to 69,955,070,752,292, 96,541,032,238,736 and 38,739,642,766,264
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Solution
The fourth proportional to 69,955,070,752,292, 96,541,032,238,736 and 38,739,642,766,264 is: 53,462,387,515,239.16
Step by Step Solution
- Step 1: Write the proportion equation
69,955,070,752,292 : 96,541,032,238,736 = 38,739,642,766,264 : x - Step 2: Convert to fraction form
69,955,070,752,292/96,541,032,238,736 = 38,739,642,766,264/x - Step 3: Cross multiply
69,955,070,752,292x = 96,541,032,238,736 × 38,739,642,766,264 - Step 4: Simplify right side
69,955,070,752,292x = 3,739,965,101,215,008,469,251,260,416 - Step 5: Solve for x
x = 3,739,965,101,215,008,469,251,260,416/69,955,070,752,292 - Step 6: Final answer
x = 53,462,387,515,239.16
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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.