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Finding the Fourth Proportional to 274,489,726,732.20, 411,734,590,098.30 and 274,489,726,732.20

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Solution

The fourth proportional to 274,489,726,732.20, 411,734,590,098.30 and 274,489,726,732.20 is: 411,734,590,098.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,489,726,732.20 : 411,734,590,098.30 = 274,489,726,732.20 : x
  2. Step 2: Convert to fraction form
    274,489,726,732.20/411,734,590,098.30 = 274,489,726,732.20/x
  3. Step 3: Cross multiply
    274,489,726,732.20x = 411,734,590,098.30 × 274,489,726,732.20
  4. Step 4: Simplify right side
    274,489,726,732.20x = 113,016,915,122,276,756,619,264
  5. Step 5: Solve for x
    x = 113,016,915,122,276,756,619,264/274,489,726,732.20
  6. Step 6: Final answer
    x = 411,734,590,098.30

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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.