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Finding the Fourth Proportional to 402,409,698.80, 603,614,548.20 and 285,508,425.20

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Solution

The fourth proportional to 402,409,698.80, 603,614,548.20 and 285,508,425.20 is: 428,262,637.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,409,698.80 : 603,614,548.20 = 285,508,425.20 : x
  2. Step 2: Convert to fraction form
    402,409,698.80/603,614,548.20 = 285,508,425.20/x
  3. Step 3: Cross multiply
    402,409,698.80x = 603,614,548.20 × 285,508,425.20
  4. Step 4: Simplify right side
    402,409,698.80x = 172,337,039,084,391,488
  5. Step 5: Solve for x
    x = 172,337,039,084,391,488/402,409,698.80
  6. Step 6: Final answer
    x = 428,262,637.80

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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.