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Finding the Fourth Proportional to 269,400,410.40, 404,100,615.60 and 204,830,328.90

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Solution

The fourth proportional to 269,400,410.40, 404,100,615.60 and 204,830,328.90 is: 307,245,493.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,400,410.40 : 404,100,615.60 = 204,830,328.90 : x
  2. Step 2: Convert to fraction form
    269,400,410.40/404,100,615.60 = 204,830,328.90/x
  3. Step 3: Cross multiply
    269,400,410.40x = 404,100,615.60 × 204,830,328.90
  4. Step 4: Simplify right side
    269,400,410.40x = 82,772,062,002,040,480
  5. Step 5: Solve for x
    x = 82,772,062,002,040,480/269,400,410.40
  6. Step 6: Final answer
    x = 307,245,493.35

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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.