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Finding the Fourth Proportional to 408,077,793.80, 613,311,084.30 and 355,524,475.40

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Solution

The fourth proportional to 408,077,793.80, 613,311,084.30 and 355,524,475.40 is: 534,327,289.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,077,793.80 : 613,311,084.30 = 355,524,475.40 : x
  2. Step 2: Convert to fraction form
    408,077,793.80/613,311,084.30 = 355,524,475.40/x
  3. Step 3: Cross multiply
    408,077,793.80x = 613,311,084.30 × 355,524,475.40
  4. Step 4: Simplify right side
    408,077,793.80x = 218,047,101,502,762,656
  5. Step 5: Solve for x
    x = 218,047,101,502,762,656/408,077,793.80
  6. Step 6: Final answer
    x = 534,327,289.59

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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.