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Finding the Fourth Proportional to 3,986,798,983.70, 5,980,198,475.55 and 3,986,798,983.70

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Solution

The fourth proportional to 3,986,798,983.70, 5,980,198,475.55 and 3,986,798,983.70 is: 5,980,198,475.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,986,798,983.70 : 5,980,198,475.55 = 3,986,798,983.70 : x
  2. Step 2: Convert to fraction form
    3,986,798,983.70/5,980,198,475.55 = 3,986,798,983.70/x
  3. Step 3: Cross multiply
    3,986,798,983.70x = 5,980,198,475.55 × 3,986,798,983.70
  4. Step 4: Simplify right side
    3,986,798,983.70x = 23,841,849,204,647,030,784
  5. Step 5: Solve for x
    x = 23,841,849,204,647,030,784/3,986,798,983.70
  6. Step 6: Final answer
    x = 5,980,198,475.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.