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Finding the Fourth Proportional to 161,833,538,410.80, 242,750,307,616.20 and 161,833,538,410.80

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Solution

The fourth proportional to 161,833,538,410.80, 242,750,307,616.20 and 161,833,538,410.80 is: 242,750,307,616.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,833,538,410.80 : 242,750,307,616.20 = 161,833,538,410.80 : x
  2. Step 2: Convert to fraction form
    161,833,538,410.80/242,750,307,616.20 = 161,833,538,410.80/x
  3. Step 3: Cross multiply
    161,833,538,410.80x = 242,750,307,616.20 × 161,833,538,410.80
  4. Step 4: Simplify right side
    161,833,538,410.80x = 39,285,141,231,839,817,498,624
  5. Step 5: Solve for x
    x = 39,285,141,231,839,817,498,624/161,833,538,410.80
  6. Step 6: Final answer
    x = 242,750,307,616.20

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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.