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Finding the Fourth Proportional to 202,428,496.20, 303,642,744.30 and 202,428,496.20

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Solution

The fourth proportional to 202,428,496.20, 303,642,744.30 and 202,428,496.20 is: 303,642,744.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,428,496.20 : 303,642,744.30 = 202,428,496.20 : x
  2. Step 2: Convert to fraction form
    202,428,496.20/303,642,744.30 = 202,428,496.20/x
  3. Step 3: Cross multiply
    202,428,496.20x = 303,642,744.30 × 202,428,496.20
  4. Step 4: Simplify right side
    202,428,496.20x = 61,465,944,110,690,120
  5. Step 5: Solve for x
    x = 61,465,944,110,690,120/202,428,496.20
  6. Step 6: Final answer
    x = 303,642,744.30

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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.