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Finding the Fourth Proportional to 541,367,752.67, 747,068,167.24 and 306,413,367.24

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Solution

The fourth proportional to 541,367,752.67, 747,068,167.24 and 306,413,367.24 is: 422,839,505.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,367,752.67 : 747,068,167.24 = 306,413,367.24 : x
  2. Step 2: Convert to fraction form
    541,367,752.67/747,068,167.24 = 306,413,367.24/x
  3. Step 3: Cross multiply
    541,367,752.67x = 747,068,167.24 × 306,413,367.24
  4. Step 4: Simplify right side
    541,367,752.67x = 228,911,672,685,581,344
  5. Step 5: Solve for x
    x = 228,911,672,685,581,344/541,367,752.67
  6. Step 6: Final answer
    x = 422,839,505.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.