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Finding the Fourth Proportional to 142,716,963.90, 200,206,857.30 and 142,716,963.90

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Solution

The fourth proportional to 142,716,963.90, 200,206,857.30 and 142,716,963.90 is: 200,206,857.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,716,963.90 : 200,206,857.30 = 142,716,963.90 : x
  2. Step 2: Convert to fraction form
    142,716,963.90/200,206,857.30 = 142,716,963.90/x
  3. Step 3: Cross multiply
    142,716,963.90x = 200,206,857.30 × 142,716,963.90
  4. Step 4: Simplify right side
    142,716,963.90x = 28,572,914,825,816,556
  5. Step 5: Solve for x
    x = 28,572,914,825,816,556/142,716,963.90
  6. Step 6: Final answer
    x = 200,206,857.30

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.