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Finding the Fourth Proportional to 655,014,815,200.15, 982,522,222,800.20 and 655,014,815,200.15

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Solution

The fourth proportional to 655,014,815,200.15, 982,522,222,800.20 and 655,014,815,200.15 is: 982,522,222,800.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,014,815,200.15 : 982,522,222,800.20 = 655,014,815,200.15 : x
  2. Step 2: Convert to fraction form
    655,014,815,200.15/982,522,222,800.20 = 655,014,815,200.15/x
  3. Step 3: Cross multiply
    655,014,815,200.15x = 982,522,222,800.20 × 655,014,815,200.15
  4. Step 4: Simplify right side
    655,014,815,200.15x = 643,566,612,197,513,642,377,216
  5. Step 5: Solve for x
    x = 643,566,612,197,513,642,377,216/655,014,815,200.15
  6. Step 6: Final answer
    x = 982,522,222,800.20

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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.