Finding the Fourth Proportional to 48,947,350,162,860, 67,553,266,423,204 and 27,858,272,386,264
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Solution
The fourth proportional to 48,947,350,162,860, 67,553,266,423,204 and 27,858,272,386,264 is: 38,447,787,067,897.91
Step by Step Solution
- Step 1: Write the proportion equation
48,947,350,162,860 : 67,553,266,423,204 = 27,858,272,386,264 : x - Step 2: Convert to fraction form
48,947,350,162,860/67,553,266,423,204 = 27,858,272,386,264/x - Step 3: Cross multiply
48,947,350,162,860x = 67,553,266,423,204 × 27,858,272,386,264 - Step 4: Simplify right side
48,947,350,162,860x = 1,881,917,296,599,479,011,189,456,896 - Step 5: Solve for x
x = 1,881,917,296,599,479,011,189,456,896/48,947,350,162,860 - Step 6: Final answer
x = 38,447,787,067,897.91
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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.