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Finding the Fourth Proportional to 408,777,712.15, 613,166,568.23 and 408,777,712.15

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Solution

The fourth proportional to 408,777,712.15, 613,166,568.23 and 408,777,712.15 is: 613,166,568.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,777,712.15 : 613,166,568.23 = 408,777,712.15 : x
  2. Step 2: Convert to fraction form
    408,777,712.15/613,166,568.23 = 408,777,712.15/x
  3. Step 3: Cross multiply
    408,777,712.15x = 613,166,568.23 × 408,777,712.15
  4. Step 4: Simplify right side
    408,777,712.15x = 250,648,826,925,882,368
  5. Step 5: Solve for x
    x = 250,648,826,925,882,368/408,777,712.15
  6. Step 6: Final answer
    x = 613,166,568.23

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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.