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Finding the Fourth Proportional to 534,284,959,773.10, 801,427,439,659.65 and 534,284,959,773.10

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Solution

The fourth proportional to 534,284,959,773.10, 801,427,439,659.65 and 534,284,959,773.10 is: 801,427,439,659.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,284,959,773.10 : 801,427,439,659.65 = 534,284,959,773.10 : x
  2. Step 2: Convert to fraction form
    534,284,959,773.10/801,427,439,659.65 = 534,284,959,773.10/x
  3. Step 3: Cross multiply
    534,284,959,773.10x = 801,427,439,659.65 × 534,284,959,773.10
  4. Step 4: Simplify right side
    534,284,959,773.10x = 428,190,627,359,614,627,217,408
  5. Step 5: Solve for x
    x = 428,190,627,359,614,627,217,408/534,284,959,773.10
  6. Step 6: Final answer
    x = 801,427,439,659.65

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1.5x scale

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.