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Finding the Fourth Proportional to 655,120,570,490.55, 982,680,855,735.83 and 655,120,570,490.55

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Solution

The fourth proportional to 655,120,570,490.55, 982,680,855,735.83 and 655,120,570,490.55 is: 982,680,855,735.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,120,570,490.55 : 982,680,855,735.83 = 655,120,570,490.55 : x
  2. Step 2: Convert to fraction form
    655,120,570,490.55/982,680,855,735.83 = 655,120,570,490.55/x
  3. Step 3: Cross multiply
    655,120,570,490.55x = 982,680,855,735.83 × 655,120,570,490.55
  4. Step 4: Simplify right side
    655,120,570,490.55x = 643,774,442,819,798,880,485,376
  5. Step 5: Solve for x
    x = 643,774,442,819,798,880,485,376/655,120,570,490.55
  6. Step 6: Final answer
    x = 982,680,855,735.83

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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.