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Finding the Fourth Proportional to 181,009,188,052.97, 271,513,782,079.53 and 181,009,188,052.97

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Solution

The fourth proportional to 181,009,188,052.97, 271,513,782,079.53 and 181,009,188,052.97 is: 271,513,782,079.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,009,188,052.97 : 271,513,782,079.53 = 181,009,188,052.97 : x
  2. Step 2: Convert to fraction form
    181,009,188,052.97/271,513,782,079.53 = 181,009,188,052.97/x
  3. Step 3: Cross multiply
    181,009,188,052.97x = 271,513,782,079.53 × 181,009,188,052.97
  4. Step 4: Simplify right side
    181,009,188,052.97x = 49,146,489,239,406,764,883,968
  5. Step 5: Solve for x
    x = 49,146,489,239,406,764,883,968/181,009,188,052.97
  6. Step 6: Final answer
    x = 271,513,782,079.53

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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.