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Finding the Fourth Proportional to 647,694,312.40, 971,541,468.60 and 531,468,165.70

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Solution

The fourth proportional to 647,694,312.40, 971,541,468.60 and 531,468,165.70 is: 797,202,248.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,694,312.40 : 971,541,468.60 = 531,468,165.70 : x
  2. Step 2: Convert to fraction form
    647,694,312.40/971,541,468.60 = 531,468,165.70/x
  3. Step 3: Cross multiply
    647,694,312.40x = 971,541,468.60 × 531,468,165.70
  4. Step 4: Simplify right side
    647,694,312.40x = 516,343,362,218,326,144
  5. Step 5: Solve for x
    x = 516,343,362,218,326,144/647,694,312.40
  6. Step 6: Final answer
    x = 797,202,248.55

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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.