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Finding the Fourth Proportional to 209,952,902.80, 314,929,354.20 and 73,638,286.30

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Solution

The fourth proportional to 209,952,902.80, 314,929,354.20 and 73,638,286.30 is: 110,457,429.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,952,902.80 : 314,929,354.20 = 73,638,286.30 : x
  2. Step 2: Convert to fraction form
    209,952,902.80/314,929,354.20 = 73,638,286.30/x
  3. Step 3: Cross multiply
    209,952,902.80x = 314,929,354.20 × 73,638,286.30
  4. Step 4: Simplify right side
    209,952,902.80x = 23,190,857,948,853,704
  5. Step 5: Solve for x
    x = 23,190,857,948,853,704/209,952,902.80
  6. Step 6: Final answer
    x = 110,457,429.45

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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.