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Finding the Fourth Proportional to 18,164,250,010.80, 27,246,375,016.20 and 18,164,250,010.80

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Solution

The fourth proportional to 18,164,250,010.80, 27,246,375,016.20 and 18,164,250,010.80 is: 27,246,375,016.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,164,250,010.80 : 27,246,375,016.20 = 18,164,250,010.80 : x
  2. Step 2: Convert to fraction form
    18,164,250,010.80/27,246,375,016.20 = 18,164,250,010.80/x
  3. Step 3: Cross multiply
    18,164,250,010.80x = 27,246,375,016.20 × 18,164,250,010.80
  4. Step 4: Simplify right side
    18,164,250,010.80x = 494,909,967,682,271,707,136
  5. Step 5: Solve for x
    x = 494,909,967,682,271,707,136/18,164,250,010.80
  6. Step 6: Final answer
    x = 27,246,375,016.20

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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.