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Finding the Fourth Proportional to 509,965,499.80, 764,948,249.70 and 407,928,827.80

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Solution

The fourth proportional to 509,965,499.80, 764,948,249.70 and 407,928,827.80 is: 611,893,241.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,965,499.80 : 764,948,249.70 = 407,928,827.80 : x
  2. Step 2: Convert to fraction form
    509,965,499.80/764,948,249.70 = 407,928,827.80/x
  3. Step 3: Cross multiply
    509,965,499.80x = 764,948,249.70 × 407,928,827.80
  4. Step 4: Simplify right side
    509,965,499.80x = 312,044,442,827,782,720
  5. Step 5: Solve for x
    x = 312,044,442,827,782,720/509,965,499.80
  6. Step 6: Final answer
    x = 611,893,241.70

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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.