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Finding the Fourth Proportional to 72,650,102,997.80, 108,975,154,496.70 and 72,650,102,997.80

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Solution

The fourth proportional to 72,650,102,997.80, 108,975,154,496.70 and 72,650,102,997.80 is: 108,975,154,496.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,650,102,997.80 : 108,975,154,496.70 = 72,650,102,997.80 : x
  2. Step 2: Convert to fraction form
    72,650,102,997.80/108,975,154,496.70 = 72,650,102,997.80/x
  3. Step 3: Cross multiply
    72,650,102,997.80x = 108,975,154,496.70 × 72,650,102,997.80
  4. Step 4: Simplify right side
    72,650,102,997.80x = 7,917,056,198,386,422,644,736
  5. Step 5: Solve for x
    x = 7,917,056,198,386,422,644,736/72,650,102,997.80
  6. Step 6: Final answer
    x = 108,975,154,496.70

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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.