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Finding the Fourth Proportional to 509,382,023.90, 764,073,035.85 and 509,382,023.90

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Solution

The fourth proportional to 509,382,023.90, 764,073,035.85 and 509,382,023.90 is: 764,073,035.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,382,023.90 : 764,073,035.85 = 509,382,023.90 : x
  2. Step 2: Convert to fraction form
    509,382,023.90/764,073,035.85 = 509,382,023.90/x
  3. Step 3: Cross multiply
    509,382,023.90x = 764,073,035.85 × 509,382,023.90
  4. Step 4: Simplify right side
    509,382,023.90x = 389,205,069,408,690,240
  5. Step 5: Solve for x
    x = 389,205,069,408,690,240/509,382,023.90
  6. Step 6: Final answer
    x = 764,073,035.85

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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.