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Finding the Fourth Proportional to 419,866,022.80, 629,337,139.80 and 147,096,384.40

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Solution

The fourth proportional to 419,866,022.80, 629,337,139.80 and 147,096,384.40 is: 220,482,755.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,866,022.80 : 629,337,139.80 = 147,096,384.40 : x
  2. Step 2: Convert to fraction form
    419,866,022.80/629,337,139.80 = 147,096,384.40/x
  3. Step 3: Cross multiply
    419,866,022.80x = 629,337,139.80 × 147,096,384.40
  4. Step 4: Simplify right side
    419,866,022.80x = 92,573,217,833,217,328
  5. Step 5: Solve for x
    x = 92,573,217,833,217,328/419,866,022.80
  6. Step 6: Final answer
    x = 220,482,755.94

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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.