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Finding the Fourth Proportional to 81,452,498,465.20, 122,178,747,697.80 and 81,452,498,465.20

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Solution

The fourth proportional to 81,452,498,465.20, 122,178,747,697.80 and 81,452,498,465.20 is: 122,178,747,697.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,452,498,465.20 : 122,178,747,697.80 = 81,452,498,465.20 : x
  2. Step 2: Convert to fraction form
    81,452,498,465.20/122,178,747,697.80 = 81,452,498,465.20/x
  3. Step 3: Cross multiply
    81,452,498,465.20x = 122,178,747,697.80 × 81,452,498,465.20
  4. Step 4: Simplify right side
    81,452,498,465.20x = 9,951,764,259,335,112,228,864
  5. Step 5: Solve for x
    x = 9,951,764,259,335,112,228,864/81,452,498,465.20
  6. Step 6: Final answer
    x = 122,178,747,697.80

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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.