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Finding the Fourth Proportional to 260,761,150,833.45, 391,141,726,250.18 and 260,761,150,833.45

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Solution

The fourth proportional to 260,761,150,833.45, 391,141,726,250.18 and 260,761,150,833.45 is: 391,141,726,250.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,761,150,833.45 : 391,141,726,250.18 = 260,761,150,833.45 : x
  2. Step 2: Convert to fraction form
    260,761,150,833.45/391,141,726,250.18 = 260,761,150,833.45/x
  3. Step 3: Cross multiply
    260,761,150,833.45x = 391,141,726,250.18 × 260,761,150,833.45
  4. Step 4: Simplify right side
    260,761,150,833.45x = 101,994,566,675,979,193,810,944
  5. Step 5: Solve for x
    x = 101,994,566,675,979,193,810,944/260,761,150,833.45
  6. Step 6: Final answer
    x = 391,141,726,250.18

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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.