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Finding the Fourth Proportional to 721,468,277.20, 1,082,202,415.80 and 721,468,277.20

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Solution

The fourth proportional to 721,468,277.20, 1,082,202,415.80 and 721,468,277.20 is: 1,082,202,415.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    721,468,277.20 : 1,082,202,415.80 = 721,468,277.20 : x
  2. Step 2: Convert to fraction form
    721,468,277.20/1,082,202,415.80 = 721,468,277.20/x
  3. Step 3: Cross multiply
    721,468,277.20x = 1,082,202,415.80 × 721,468,277.20
  4. Step 4: Simplify right side
    721,468,277.20x = 780,774,712,508,904,064
  5. Step 5: Solve for x
    x = 780,774,712,508,904,064/721,468,277.20
  6. Step 6: Final answer
    x = 1,082,202,415.80

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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.