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Finding the Fourth Proportional to 27,942,912,158.80, 41,914,368,238.20 and 27,942,912,158.80

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Solution

The fourth proportional to 27,942,912,158.80, 41,914,368,238.20 and 27,942,912,158.80 is: 41,914,368,238.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,942,912,158.80 : 41,914,368,238.20 = 27,942,912,158.80 : x
  2. Step 2: Convert to fraction form
    27,942,912,158.80/41,914,368,238.20 = 27,942,912,158.80/x
  3. Step 3: Cross multiply
    27,942,912,158.80x = 41,914,368,238.20 × 27,942,912,158.80
  4. Step 4: Simplify right side
    27,942,912,158.80x = 1,171,209,509,871,619,145,728
  5. Step 5: Solve for x
    x = 1,171,209,509,871,619,145,728/27,942,912,158.80
  6. Step 6: Final answer
    x = 41,914,368,238.20

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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.