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Finding the Fourth Proportional to 82,432,512,182.20, 123,648,768,273.30 and 82,432,512,182.20

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Solution

The fourth proportional to 82,432,512,182.20, 123,648,768,273.30 and 82,432,512,182.20 is: 123,648,768,273.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,432,512,182.20 : 123,648,768,273.30 = 82,432,512,182.20 : x
  2. Step 2: Convert to fraction form
    82,432,512,182.20/123,648,768,273.30 = 82,432,512,182.20/x
  3. Step 3: Cross multiply
    82,432,512,182.20x = 123,648,768,273.30 × 82,432,512,182.20
  4. Step 4: Simplify right side
    82,432,512,182.20x = 10,192,678,597,002,826,612,736
  5. Step 5: Solve for x
    x = 10,192,678,597,002,826,612,736/82,432,512,182.20
  6. Step 6: Final answer
    x = 123,648,768,273.30

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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.