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Finding the Fourth Proportional to 523,338,863.90, 784,533,161.42 and 261,103,620.47

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Solution

The fourth proportional to 523,338,863.90, 784,533,161.42 and 261,103,620.47 is: 391,418,377.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,338,863.90 : 784,533,161.42 = 261,103,620.47 : x
  2. Step 2: Convert to fraction form
    523,338,863.90/784,533,161.42 = 261,103,620.47/x
  3. Step 3: Cross multiply
    523,338,863.90x = 784,533,161.42 × 261,103,620.47
  4. Step 4: Simplify right side
    523,338,863.90x = 204,844,448,824,231,392
  5. Step 5: Solve for x
    x = 204,844,448,824,231,392/523,338,863.90
  6. Step 6: Final answer
    x = 391,418,377.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.