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Finding the Fourth Proportional to 386,676,693,500.80, 580,015,040,251.20 and 386,676,693,500.80

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Solution

The fourth proportional to 386,676,693,500.80, 580,015,040,251.20 and 386,676,693,500.80 is: 580,015,040,251.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,676,693,500.80 : 580,015,040,251.20 = 386,676,693,500.80 : x
  2. Step 2: Convert to fraction form
    386,676,693,500.80/580,015,040,251.20 = 386,676,693,500.80/x
  3. Step 3: Cross multiply
    386,676,693,500.80x = 580,015,040,251.20 × 386,676,693,500.80
  4. Step 4: Simplify right side
    386,676,693,500.80x = 224,278,297,945,067,407,540,224
  5. Step 5: Solve for x
    x = 224,278,297,945,067,407,540,224/386,676,693,500.80
  6. Step 6: Final answer
    x = 580,015,040,251.20

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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.