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Finding the Fourth Proportional to 647,101,251.80, 970,651,877.70 and 449,086,335.20

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Solution

The fourth proportional to 647,101,251.80, 970,651,877.70 and 449,086,335.20 is: 673,629,502.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,101,251.80 : 970,651,877.70 = 449,086,335.20 : x
  2. Step 2: Convert to fraction form
    647,101,251.80/970,651,877.70 = 449,086,335.20/x
  3. Step 3: Cross multiply
    647,101,251.80x = 970,651,877.70 × 449,086,335.20
  4. Step 4: Simplify right side
    647,101,251.80x = 435,906,494,511,291,584
  5. Step 5: Solve for x
    x = 435,906,494,511,291,584/647,101,251.80
  6. Step 6: Final answer
    x = 673,629,502.80

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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.