Finding the Fourth Proportional to 48,947,350,162,848, 67,553,266,423,192 and 27,858,272,386,254
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Solution
The fourth proportional to 48,947,350,162,848, 67,553,266,423,192 and 27,858,272,386,254 is: 38,447,787,067,886.70
Step by Step Solution
- Step 1: Write the proportion equation
48,947,350,162,848 : 67,553,266,423,192 = 27,858,272,386,254 : x - Step 2: Convert to fraction form
48,947,350,162,848/67,553,266,423,192 = 27,858,272,386,254/x - Step 3: Cross multiply
48,947,350,162,848x = 67,553,266,423,192 × 27,858,272,386,254 - Step 4: Simplify right side
48,947,350,162,848x = 1,881,917,296,598,469,109,759,344,640 - Step 5: Solve for x
x = 1,881,917,296,598,469,109,759,344,640/48,947,350,162,848 - Step 6: Final answer
x = 38,447,787,067,886.70
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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.