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Finding the Fourth Proportional to 728,991,074.30, 1,005,808,340.97 and 415,610,945.42

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Solution

The fourth proportional to 728,991,074.30, 1,005,808,340.97 and 415,610,945.42 is: 573,429,456.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    728,991,074.30 : 1,005,808,340.97 = 415,610,945.42 : x
  2. Step 2: Convert to fraction form
    728,991,074.30/1,005,808,340.97 = 415,610,945.42/x
  3. Step 3: Cross multiply
    728,991,074.30x = 1,005,808,340.97 × 415,610,945.42
  4. Step 4: Simplify right side
    728,991,074.30x = 418,024,955,496,834,432
  5. Step 5: Solve for x
    x = 418,024,955,496,834,432/728,991,074.30
  6. Step 6: Final answer
    x = 573,429,456.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.