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Finding the Fourth Proportional to 768,394,518.18, 1,060,384,777.47 and 415,970,497.50

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Solution

The fourth proportional to 768,394,518.18, 1,060,384,777.47 and 415,970,497.50 is: 574,039,471.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,394,518.18 : 1,060,384,777.47 = 415,970,497.50 : x
  2. Step 2: Convert to fraction form
    768,394,518.18/1,060,384,777.47 = 415,970,497.50/x
  3. Step 3: Cross multiply
    768,394,518.18x = 1,060,384,777.47 × 415,970,497.50
  4. Step 4: Simplify right side
    768,394,518.18x = 441,088,783,425,622,720
  5. Step 5: Solve for x
    x = 441,088,783,425,622,720/768,394,518.18
  6. Step 6: Final answer
    x = 574,039,471.90

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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.