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Finding the Fourth Proportional to 173,840,961,765.15, 260,761,442,647.72 and 173,840,961,765.15

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Solution

The fourth proportional to 173,840,961,765.15, 260,761,442,647.72 and 173,840,961,765.15 is: 260,761,442,647.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,840,961,765.15 : 260,761,442,647.72 = 173,840,961,765.15 : x
  2. Step 2: Convert to fraction form
    173,840,961,765.15/260,761,442,647.72 = 173,840,961,765.15/x
  3. Step 3: Cross multiply
    173,840,961,765.15x = 260,761,442,647.72 × 173,840,961,765.15
  4. Step 4: Simplify right side
    173,840,961,765.15x = 45,331,019,981,147,644,887,040
  5. Step 5: Solve for x
    x = 45,331,019,981,147,644,887,040/173,840,961,765.15
  6. Step 6: Final answer
    x = 260,761,442,647.72

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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.