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Finding the Fourth Proportional to 281,866,374.80, 422,799,562.20 and 200,237,037.20

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Solution

The fourth proportional to 281,866,374.80, 422,799,562.20 and 200,237,037.20 is: 300,355,555.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,866,374.80 : 422,799,562.20 = 200,237,037.20 : x
  2. Step 2: Convert to fraction form
    281,866,374.80/422,799,562.20 = 200,237,037.20/x
  3. Step 3: Cross multiply
    281,866,374.80x = 422,799,562.20 × 200,237,037.20
  4. Step 4: Simplify right side
    281,866,374.80x = 84,660,131,664,385,104
  5. Step 5: Solve for x
    x = 84,660,131,664,385,104/281,866,374.80
  6. Step 6: Final answer
    x = 300,355,555.80

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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.