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Finding the Fourth Proportional to 161,425,536,069.60, 242,138,304,104.40 and 161,425,536,069.60

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Solution

The fourth proportional to 161,425,536,069.60, 242,138,304,104.40 and 161,425,536,069.60 is: 242,138,304,104.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,425,536,069.60 : 242,138,304,104.40 = 161,425,536,069.60 : x
  2. Step 2: Convert to fraction form
    161,425,536,069.60/242,138,304,104.40 = 161,425,536,069.60/x
  3. Step 3: Cross multiply
    161,425,536,069.60x = 242,138,304,104.40 × 161,425,536,069.60
  4. Step 4: Simplify right side
    161,425,536,069.60x = 39,087,305,543,036,600,057,856
  5. Step 5: Solve for x
    x = 39,087,305,543,036,600,057,856/161,425,536,069.60
  6. Step 6: Final answer
    x = 242,138,304,104.40

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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.