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Finding the Fourth Proportional to 419,906,041.60, 629,859,062.40 and 256,647,366.40

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Solution

The fourth proportional to 419,906,041.60, 629,859,062.40 and 256,647,366.40 is: 384,971,049.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,906,041.60 : 629,859,062.40 = 256,647,366.40 : x
  2. Step 2: Convert to fraction form
    419,906,041.60/629,859,062.40 = 256,647,366.40/x
  3. Step 3: Cross multiply
    419,906,041.60x = 629,859,062.40 × 256,647,366.40
  4. Step 4: Simplify right side
    419,906,041.60x = 161,651,669,568,133,248
  5. Step 5: Solve for x
    x = 161,651,669,568,133,248/419,906,041.60
  6. Step 6: Final answer
    x = 384,971,049.60

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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.