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Finding the Fourth Proportional to 768,394,511.68, 1,060,384,768.47 and 415,970,491

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Solution

The fourth proportional to 768,394,511.68, 1,060,384,768.47 and 415,970,491 is: 574,039,462.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,394,511.68 : 1,060,384,768.47 = 415,970,491 : x
  2. Step 2: Convert to fraction form
    768,394,511.68/1,060,384,768.47 = 415,970,491/x
  3. Step 3: Cross multiply
    768,394,511.68x = 1,060,384,768.47 × 415,970,491
  4. Step 4: Simplify right side
    768,394,511.68x = 441,088,772,789,387,200
  5. Step 5: Solve for x
    x = 441,088,772,789,387,200/768,394,511.68
  6. Step 6: Final answer
    x = 574,039,462.91

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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.