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Finding the Fourth Proportional to 502,368,732.59, 753,588,971.15 and 133,901,754.71

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Solution

The fourth proportional to 502,368,732.59, 753,588,971.15 and 133,901,754.71 is: 200,862,193.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,368,732.59 : 753,588,971.15 = 133,901,754.71 : x
  2. Step 2: Convert to fraction form
    502,368,732.59/753,588,971.15 = 133,901,754.71/x
  3. Step 3: Cross multiply
    502,368,732.59x = 753,588,971.15 × 133,901,754.71
  4. Step 4: Simplify right side
    502,368,732.59x = 100,906,885,562,651,104
  5. Step 5: Solve for x
    x = 100,906,885,562,651,104/502,368,732.59
  6. Step 6: Final answer
    x = 200,862,193.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.