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Finding the Fourth Proportional to 18,162,520,666.20, 27,243,780,999.30 and 18,162,520,666.20

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Solution

The fourth proportional to 18,162,520,666.20, 27,243,780,999.30 and 18,162,520,666.20 is: 27,243,780,999.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,162,520,666.20 : 27,243,780,999.30 = 18,162,520,666.20 : x
  2. Step 2: Convert to fraction form
    18,162,520,666.20/27,243,780,999.30 = 18,162,520,666.20/x
  3. Step 3: Cross multiply
    18,162,520,666.20x = 27,243,780,999.30 × 18,162,520,666.20
  4. Step 4: Simplify right side
    18,162,520,666.20x = 494,815,735,425,213,136,896
  5. Step 5: Solve for x
    x = 494,815,735,425,213,136,896/18,162,520,666.20
  6. Step 6: Final answer
    x = 27,243,780,999.30

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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.