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Finding the Fourth Proportional to 419,906,201.80, 629,859,302.70 and 389,295,200.20

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Solution

The fourth proportional to 419,906,201.80, 629,859,302.70 and 389,295,200.20 is: 583,942,800.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,906,201.80 : 629,859,302.70 = 389,295,200.20 : x
  2. Step 2: Convert to fraction form
    419,906,201.80/629,859,302.70 = 389,295,200.20/x
  3. Step 3: Cross multiply
    419,906,201.80x = 629,859,302.70 × 389,295,200.20
  4. Step 4: Simplify right side
    419,906,201.80x = 245,201,203,342,428,896
  5. Step 5: Solve for x
    x = 245,201,203,342,428,896/419,906,201.80
  6. Step 6: Final answer
    x = 583,942,800.30

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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.