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Finding the Fourth Proportional to 171,301,149,029.70, 256,951,723,544.55 and 171,301,149,029.70

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Solution

The fourth proportional to 171,301,149,029.70, 256,951,723,544.55 and 171,301,149,029.70 is: 256,951,723,544.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,301,149,029.70 : 256,951,723,544.55 = 171,301,149,029.70 : x
  2. Step 2: Convert to fraction form
    171,301,149,029.70/256,951,723,544.55 = 171,301,149,029.70/x
  3. Step 3: Cross multiply
    171,301,149,029.70x = 256,951,723,544.55 × 171,301,149,029.70
  4. Step 4: Simplify right side
    171,301,149,029.70x = 44,016,125,488,343,231,234,048
  5. Step 5: Solve for x
    x = 44,016,125,488,343,231,234,048/171,301,149,029.70
  6. Step 6: Final answer
    x = 256,951,723,544.55

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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.