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Finding the Fourth Proportional to 655,121,990,655.80, 982,682,985,983.70 and 655,121,990,655.80

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Solution

The fourth proportional to 655,121,990,655.80, 982,682,985,983.70 and 655,121,990,655.80 is: 982,682,985,983.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,121,990,655.80 : 982,682,985,983.70 = 655,121,990,655.80 : x
  2. Step 2: Convert to fraction form
    655,121,990,655.80/982,682,985,983.70 = 655,121,990,655.80/x
  3. Step 3: Cross multiply
    655,121,990,655.80x = 982,682,985,983.70 × 655,121,990,655.80
  4. Step 4: Simplify right side
    655,121,990,655.80x = 643,777,233,961,227,185,553,408
  5. Step 5: Solve for x
    x = 643,777,233,961,227,185,553,408/655,121,990,655.80
  6. Step 6: Final answer
    x = 982,682,985,983.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.