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Finding the Fourth Proportional to 800,341,382.10, 1,200,512,073.15 and 664,292,486.10

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Solution

The fourth proportional to 800,341,382.10, 1,200,512,073.15 and 664,292,486.10 is: 996,438,729.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    800,341,382.10 : 1,200,512,073.15 = 664,292,486.10 : x
  2. Step 2: Convert to fraction form
    800,341,382.10/1,200,512,073.15 = 664,292,486.10/x
  3. Step 3: Cross multiply
    800,341,382.10x = 1,200,512,073.15 × 664,292,486.10
  4. Step 4: Simplify right side
    800,341,382.10x = 797,491,149,665,878,656
  5. Step 5: Solve for x
    x = 797,491,149,665,878,656/800,341,382.10
  6. Step 6: Final answer
    x = 996,438,729.15

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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.