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Finding the Fourth Proportional to 431,569,193.30, 647,353,789.95 and 431,569,193.30

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Solution

The fourth proportional to 431,569,193.30, 647,353,789.95 and 431,569,193.30 is: 647,353,789.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,569,193.30 : 647,353,789.95 = 431,569,193.30 : x
  2. Step 2: Convert to fraction form
    431,569,193.30/647,353,789.95 = 431,569,193.30/x
  3. Step 3: Cross multiply
    431,569,193.30x = 647,353,789.95 × 431,569,193.30
  4. Step 4: Simplify right side
    431,569,193.30x = 279,377,952,908,419,168
  5. Step 5: Solve for x
    x = 279,377,952,908,419,168/431,569,193.30
  6. Step 6: Final answer
    x = 647,353,789.95

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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.