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Finding the Fourth Proportional to 86,920,132,209.20, 130,380,198,313.80 and 86,920,132,209.20

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Solution

The fourth proportional to 86,920,132,209.20, 130,380,198,313.80 and 86,920,132,209.20 is: 130,380,198,313.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,920,132,209.20 : 130,380,198,313.80 = 86,920,132,209.20 : x
  2. Step 2: Convert to fraction form
    86,920,132,209.20/130,380,198,313.80 = 86,920,132,209.20/x
  3. Step 3: Cross multiply
    86,920,132,209.20x = 130,380,198,313.80 × 86,920,132,209.20
  4. Step 4: Simplify right side
    86,920,132,209.20x = 11,332,664,074,897,211,785,216
  5. Step 5: Solve for x
    x = 11,332,664,074,897,211,785,216/86,920,132,209.20
  6. Step 6: Final answer
    x = 130,380,198,313.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.