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Finding the Fourth Proportional to 861,643,129,600.55, 1,292,464,694,400.90 and 861,643,129,600.55

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Solution

The fourth proportional to 861,643,129,600.55, 1,292,464,694,400.90 and 861,643,129,600.55 is: 1,292,464,694,400.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    861,643,129,600.55 : 1,292,464,694,400.90 = 861,643,129,600.55 : x
  2. Step 2: Convert to fraction form
    861,643,129,600.55/1,292,464,694,400.90 = 861,643,129,600.55/x
  3. Step 3: Cross multiply
    861,643,129,600.55x = 1,292,464,694,400.90 × 861,643,129,600.55
  4. Step 4: Simplify right side
    861,643,129,600.55x = 1,113,643,324,181,809,840,783,360
  5. Step 5: Solve for x
    x = 1,113,643,324,181,809,840,783,360/861,643,129,600.55
  6. Step 6: Final answer
    x = 1,292,464,694,400.90

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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.