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Finding the Fourth Proportional to 104,327,802,144.80, 156,491,703,217.20 and 104,327,802,144.80

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Solution

The fourth proportional to 104,327,802,144.80, 156,491,703,217.20 and 104,327,802,144.80 is: 156,491,703,217.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,327,802,144.80 : 156,491,703,217.20 = 104,327,802,144.80 : x
  2. Step 2: Convert to fraction form
    104,327,802,144.80/156,491,703,217.20 = 104,327,802,144.80/x
  3. Step 3: Cross multiply
    104,327,802,144.80x = 156,491,703,217.20 × 104,327,802,144.80
  4. Step 4: Simplify right side
    104,327,802,144.80x = 16,326,435,450,546,804,490,240
  5. Step 5: Solve for x
    x = 16,326,435,450,546,804,490,240/104,327,802,144.80
  6. Step 6: Final answer
    x = 156,491,703,217.20

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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.