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Finding the Fourth Proportional to 728,276,446.20, 1,092,414,669.30 and 728,276,446.20

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Solution

The fourth proportional to 728,276,446.20, 1,092,414,669.30 and 728,276,446.20 is: 1,092,414,669.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    728,276,446.20 : 1,092,414,669.30 = 728,276,446.20 : x
  2. Step 2: Convert to fraction form
    728,276,446.20/1,092,414,669.30 = 728,276,446.20/x
  3. Step 3: Cross multiply
    728,276,446.20x = 1,092,414,669.30 × 728,276,446.20
  4. Step 4: Simplify right side
    728,276,446.20x = 795,579,873,134,552,320
  5. Step 5: Solve for x
    x = 795,579,873,134,552,320/728,276,446.20
  6. Step 6: Final answer
    x = 1,092,414,669.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.