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Finding the Fourth Proportional to 82,512,077.20, 123,768,115.80 and 82,512,077.20

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Solution

The fourth proportional to 82,512,077.20, 123,768,115.80 and 82,512,077.20 is: 123,768,115.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,512,077.20 : 123,768,115.80 = 82,512,077.20 : x
  2. Step 2: Convert to fraction form
    82,512,077.20/123,768,115.80 = 82,512,077.20/x
  3. Step 3: Cross multiply
    82,512,077.20x = 123,768,115.80 × 82,512,077.20
  4. Step 4: Simplify right side
    82,512,077.20x = 10,212,364,325,788,140
  5. Step 5: Solve for x
    x = 10,212,364,325,788,140/82,512,077.20
  6. Step 6: Final answer
    x = 123,768,115.80

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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.