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Finding the Fourth Proportional to 85,027,900,733.10, 127,541,851,099.65 and 85,027,900,733.10

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Solution

The fourth proportional to 85,027,900,733.10, 127,541,851,099.65 and 85,027,900,733.10 is: 127,541,851,099.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,027,900,733.10 : 127,541,851,099.65 = 85,027,900,733.10 : x
  2. Step 2: Convert to fraction form
    85,027,900,733.10/127,541,851,099.65 = 85,027,900,733.10/x
  3. Step 3: Cross multiply
    85,027,900,733.10x = 127,541,851,099.65 × 85,027,900,733.10
  4. Step 4: Simplify right side
    85,027,900,733.10x = 10,844,615,854,616,861,474,816
  5. Step 5: Solve for x
    x = 10,844,615,854,616,861,474,816/85,027,900,733.10
  6. Step 6: Final answer
    x = 127,541,851,099.65

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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.