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Finding the Fourth Proportional to 408,986,496,006.80, 613,479,744,010.20 and 408,986,496,006.80

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Solution

The fourth proportional to 408,986,496,006.80, 613,479,744,010.20 and 408,986,496,006.80 is: 613,479,744,010.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,986,496,006.80 : 613,479,744,010.20 = 408,986,496,006.80 : x
  2. Step 2: Convert to fraction form
    408,986,496,006.80/613,479,744,010.20 = 408,986,496,006.80/x
  3. Step 3: Cross multiply
    408,986,496,006.80x = 613,479,744,010.20 × 408,986,496,006.80
  4. Step 4: Simplify right side
    408,986,496,006.80x = 250,904,930,873,880,310,972,416
  5. Step 5: Solve for x
    x = 250,904,930,873,880,310,972,416/408,986,496,006.80
  6. Step 6: Final answer
    x = 613,479,744,010.20

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1.5x scale

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.