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Finding the Fourth Proportional to 517,249,385.80, 775,874,078.70 and 461,129,216.20

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Solution

The fourth proportional to 517,249,385.80, 775,874,078.70 and 461,129,216.20 is: 691,693,824.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,249,385.80 : 775,874,078.70 = 461,129,216.20 : x
  2. Step 2: Convert to fraction form
    517,249,385.80/775,874,078.70 = 461,129,216.20/x
  3. Step 3: Cross multiply
    517,249,385.80x = 775,874,078.70 × 461,129,216.20
  4. Step 4: Simplify right side
    517,249,385.80x = 357,778,205,780,828,096
  5. Step 5: Solve for x
    x = 357,778,205,780,828,096/517,249,385.80
  6. Step 6: Final answer
    x = 691,693,824.30

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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.