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Finding the Fourth Proportional to 173,840,760,016.05, 260,761,140,024.07 and 173,840,760,016.05

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Solution

The fourth proportional to 173,840,760,016.05, 260,761,140,024.07 and 173,840,760,016.05 is: 260,761,140,024.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,840,760,016.05 : 260,761,140,024.07 = 173,840,760,016.05 : x
  2. Step 2: Convert to fraction form
    173,840,760,016.05/260,761,140,024.07 = 173,840,760,016.05/x
  3. Step 3: Cross multiply
    173,840,760,016.05x = 260,761,140,024.07 × 173,840,760,016.05
  4. Step 4: Simplify right side
    173,840,760,016.05x = 45,330,914,764,435,958,530,048
  5. Step 5: Solve for x
    x = 45,330,914,764,435,958,530,048/173,840,760,016.05
  6. Step 6: Final answer
    x = 260,761,140,024.07

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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.