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Finding the Fourth Proportional to 457,732,562.89, 686,598,844.32 and 134,616,434.89

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Solution

The fourth proportional to 457,732,562.89, 686,598,844.32 and 134,616,434.89 is: 201,924,652.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,732,562.89 : 686,598,844.32 = 134,616,434.89 : x
  2. Step 2: Convert to fraction form
    457,732,562.89/686,598,844.32 = 134,616,434.89/x
  3. Step 3: Cross multiply
    457,732,562.89x = 686,598,844.32 × 134,616,434.89
  4. Step 4: Simplify right side
    457,732,562.89x = 92,427,488,618,519,536
  5. Step 5: Solve for x
    x = 92,427,488,618,519,536/457,732,562.89
  6. Step 6: Final answer
    x = 201,924,652.33

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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.