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Finding the Fourth Proportional to 2,912,384,138.80, 4,368,576,208.20 and 2,912,384,138.80

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Solution

The fourth proportional to 2,912,384,138.80, 4,368,576,208.20 and 2,912,384,138.80 is: 4,368,576,208.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,912,384,138.80 : 4,368,576,208.20 = 2,912,384,138.80 : x
  2. Step 2: Convert to fraction form
    2,912,384,138.80/4,368,576,208.20 = 2,912,384,138.80/x
  3. Step 3: Cross multiply
    2,912,384,138.80x = 4,368,576,208.20 × 2,912,384,138.80
  4. Step 4: Simplify right side
    2,912,384,138.80x = 12,722,972,057,900,726,272
  5. Step 5: Solve for x
    x = 12,722,972,057,900,726,272/2,912,384,138.80
  6. Step 6: Final answer
    x = 4,368,576,208.20

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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.