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Finding the Fourth Proportional to 724,365,829.10, 1,086,548,743.65 and 724,365,829.10

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Solution

The fourth proportional to 724,365,829.10, 1,086,548,743.65 and 724,365,829.10 is: 1,086,548,743.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    724,365,829.10 : 1,086,548,743.65 = 724,365,829.10 : x
  2. Step 2: Convert to fraction form
    724,365,829.10/1,086,548,743.65 = 724,365,829.10/x
  3. Step 3: Cross multiply
    724,365,829.10x = 1,086,548,743.65 × 724,365,829.10
  4. Step 4: Simplify right side
    724,365,829.10x = 787,058,781,551,595,648
  5. Step 5: Solve for x
    x = 787,058,781,551,595,648/724,365,829.10
  6. Step 6: Final answer
    x = 1,086,548,743.65

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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.