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Finding the Fourth Proportional to 281,866,366.80, 422,799,550.20 and 200,237,029.20

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Solution

The fourth proportional to 281,866,366.80, 422,799,550.20 and 200,237,029.20 is: 300,355,543.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,866,366.80 : 422,799,550.20 = 200,237,029.20 : x
  2. Step 2: Convert to fraction form
    281,866,366.80/422,799,550.20 = 200,237,029.20/x
  3. Step 3: Cross multiply
    281,866,366.80x = 422,799,550.20 × 200,237,029.20
  4. Step 4: Simplify right side
    281,866,366.80x = 84,660,125,879,144,256
  5. Step 5: Solve for x
    x = 84,660,125,879,144,256/281,866,366.80
  6. Step 6: Final answer
    x = 300,355,543.80

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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.