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Finding the Fourth Proportional to 629,954,732.40, 944,932,098.60 and 412,276,498.80

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Solution

The fourth proportional to 629,954,732.40, 944,932,098.60 and 412,276,498.80 is: 618,414,748.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    629,954,732.40 : 944,932,098.60 = 412,276,498.80 : x
  2. Step 2: Convert to fraction form
    629,954,732.40/944,932,098.60 = 412,276,498.80/x
  3. Step 3: Cross multiply
    629,954,732.40x = 944,932,098.60 × 412,276,498.80
  4. Step 4: Simplify right side
    629,954,732.40x = 389,573,297,214,544,384
  5. Step 5: Solve for x
    x = 389,573,297,214,544,384/629,954,732.40
  6. Step 6: Final answer
    x = 618,414,748.20

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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.