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Finding the Fourth Proportional to 202,270,508.20, 303,405,762.30 and 202,270,508.20

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Solution

The fourth proportional to 202,270,508.20, 303,405,762.30 and 202,270,508.20 is: 303,405,762.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,270,508.20 : 303,405,762.30 = 202,270,508.20 : x
  2. Step 2: Convert to fraction form
    202,270,508.20/303,405,762.30 = 202,270,508.20/x
  3. Step 3: Cross multiply
    202,270,508.20x = 303,405,762.30 × 202,270,508.20
  4. Step 4: Simplify right side
    202,270,508.20x = 61,370,037,731,229,400
  5. Step 5: Solve for x
    x = 61,370,037,731,229,400/202,270,508.20
  6. Step 6: Final answer
    x = 303,405,762.30

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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.