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Finding the Fourth Proportional to 419,866,246.80, 629,337,475.80 and 147,096,608.40

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Solution

The fourth proportional to 419,866,246.80, 629,337,475.80 and 147,096,608.40 is: 220,483,091.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,866,246.80 : 629,337,475.80 = 147,096,608.40 : x
  2. Step 2: Convert to fraction form
    419,866,246.80/629,337,475.80 = 147,096,608.40/x
  3. Step 3: Cross multiply
    419,866,246.80x = 629,337,475.80 × 147,096,608.40
  4. Step 4: Simplify right side
    419,866,246.80x = 92,573,408,229,197,072
  5. Step 5: Solve for x
    x = 92,573,408,229,197,072/419,866,246.80
  6. Step 6: Final answer
    x = 220,483,091.78

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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.