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Finding the Fourth Proportional to 13,371,728,769.60, 20,057,593,154.40 and 13,371,728,769.60

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Solution

The fourth proportional to 13,371,728,769.60, 20,057,593,154.40 and 13,371,728,769.60 is: 20,057,593,154.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,371,728,769.60 : 20,057,593,154.40 = 13,371,728,769.60 : x
  2. Step 2: Convert to fraction form
    13,371,728,769.60/20,057,593,154.40 = 13,371,728,769.60/x
  3. Step 3: Cross multiply
    13,371,728,769.60x = 20,057,593,154.40 × 13,371,728,769.60
  4. Step 4: Simplify right side
    13,371,728,769.60x = 268,204,695,431,622,524,928
  5. Step 5: Solve for x
    x = 268,204,695,431,622,524,928/13,371,728,769.60
  6. Step 6: Final answer
    x = 20,057,593,154.40

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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.