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Finding the Fourth Proportional to 173,840,961,796.65, 260,761,442,694.97 and 173,840,961,796.65

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Solution

The fourth proportional to 173,840,961,796.65, 260,761,442,694.97 and 173,840,961,796.65 is: 260,761,442,694.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,840,961,796.65 : 260,761,442,694.97 = 173,840,961,796.65 : x
  2. Step 2: Convert to fraction form
    173,840,961,796.65/260,761,442,694.97 = 173,840,961,796.65/x
  3. Step 3: Cross multiply
    173,840,961,796.65x = 260,761,442,694.97 × 173,840,961,796.65
  4. Step 4: Simplify right side
    173,840,961,796.65x = 45,331,019,997,575,617,970,176
  5. Step 5: Solve for x
    x = 45,331,019,997,575,617,970,176/173,840,961,796.65
  6. Step 6: Final answer
    x = 260,761,442,694.97

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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.