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Finding the Fourth Proportional to 655,121,990,728.80, 982,682,986,093.20 and 655,121,990,728.80

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Solution

The fourth proportional to 655,121,990,728.80, 982,682,986,093.20 and 655,121,990,728.80 is: 982,682,986,093.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,121,990,728.80 : 982,682,986,093.20 = 655,121,990,728.80 : x
  2. Step 2: Convert to fraction form
    655,121,990,728.80/982,682,986,093.20 = 655,121,990,728.80/x
  3. Step 3: Cross multiply
    655,121,990,728.80x = 982,682,986,093.20 × 655,121,990,728.80
  4. Step 4: Simplify right side
    655,121,990,728.80x = 643,777,234,104,698,823,245,824
  5. Step 5: Solve for x
    x = 643,777,234,104,698,823,245,824/655,121,990,728.80
  6. Step 6: Final answer
    x = 982,682,986,093.20

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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.