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Finding the Fourth Proportional to 162,279,936,724.20, 243,419,905,086.30 and 162,279,936,724.20

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Solution

The fourth proportional to 162,279,936,724.20, 243,419,905,086.30 and 162,279,936,724.20 is: 243,419,905,086.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,279,936,724.20 : 243,419,905,086.30 = 162,279,936,724.20 : x
  2. Step 2: Convert to fraction form
    162,279,936,724.20/243,419,905,086.30 = 162,279,936,724.20/x
  3. Step 3: Cross multiply
    162,279,936,724.20x = 243,419,905,086.30 × 162,279,936,724.20
  4. Step 4: Simplify right side
    162,279,936,724.20x = 39,502,166,794,815,538,200,576
  5. Step 5: Solve for x
    x = 39,502,166,794,815,538,200,576/162,279,936,724.20
  6. Step 6: Final answer
    x = 243,419,905,086.30

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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.