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Finding the Fourth Proportional to 724,896,516.10, 1,087,344,774.15 and 724,896,516.10

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Solution

The fourth proportional to 724,896,516.10, 1,087,344,774.15 and 724,896,516.10 is: 1,087,344,774.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    724,896,516.10 : 1,087,344,774.15 = 724,896,516.10 : x
  2. Step 2: Convert to fraction form
    724,896,516.10/1,087,344,774.15 = 724,896,516.10/x
  3. Step 3: Cross multiply
    724,896,516.10x = 1,087,344,774.15 × 724,896,516.10
  4. Step 4: Simplify right side
    724,896,516.10x = 788,212,438,580,876,416
  5. Step 5: Solve for x
    x = 788,212,438,580,876,416/724,896,516.10
  6. Step 6: Final answer
    x = 1,087,344,774.15

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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.