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Finding the Fourth Proportional to 502,368,731.46, 753,588,969.46 and 133,901,753.56

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Solution

The fourth proportional to 502,368,731.46, 753,588,969.46 and 133,901,753.56 is: 200,862,191.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,368,731.46 : 753,588,969.46 = 133,901,753.56 : x
  2. Step 2: Convert to fraction form
    502,368,731.46/753,588,969.46 = 133,901,753.56/x
  3. Step 3: Cross multiply
    502,368,731.46x = 753,588,969.46 × 133,901,753.56
  4. Step 4: Simplify right side
    502,368,731.46x = 100,906,884,474,167,296
  5. Step 5: Solve for x
    x = 100,906,884,474,167,296/502,368,731.46
  6. Step 6: Final answer
    x = 200,862,191.76

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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.