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Finding the Fourth Proportional to 181,603,727,999.80, 272,405,591,999.70 and 181,603,727,999.80

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Solution

The fourth proportional to 181,603,727,999.80, 272,405,591,999.70 and 181,603,727,999.80 is: 272,405,591,999.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,603,727,999.80 : 272,405,591,999.70 = 181,603,727,999.80 : x
  2. Step 2: Convert to fraction form
    181,603,727,999.80/272,405,591,999.70 = 181,603,727,999.80/x
  3. Step 3: Cross multiply
    181,603,727,999.80x = 272,405,591,999.70 × 181,603,727,999.80
  4. Step 4: Simplify right side
    181,603,727,999.80x = 49,469,871,035,138,013,396,992
  5. Step 5: Solve for x
    x = 49,469,871,035,138,013,396,992/181,603,727,999.80
  6. Step 6: Final answer
    x = 272,405,591,999.70

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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.