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Finding the Fourth Proportional to 281,799,544.80, 422,699,317.20 and 204,960,223.20

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Solution

The fourth proportional to 281,799,544.80, 422,699,317.20 and 204,960,223.20 is: 307,440,334.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,799,544.80 : 422,699,317.20 = 204,960,223.20 : x
  2. Step 2: Convert to fraction form
    281,799,544.80/422,699,317.20 = 204,960,223.20/x
  3. Step 3: Cross multiply
    281,799,544.80x = 422,699,317.20 × 204,960,223.20
  4. Step 4: Simplify right side
    281,799,544.80x = 86,636,546,399,799,584
  5. Step 5: Solve for x
    x = 86,636,546,399,799,584/281,799,544.80
  6. Step 6: Final answer
    x = 307,440,334.80

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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.