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Finding the Fourth Proportional to 521,522,296,233.90, 782,283,444,350.85 and 521,522,296,233.90

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Solution

The fourth proportional to 521,522,296,233.90, 782,283,444,350.85 and 521,522,296,233.90 is: 782,283,444,350.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,522,296,233.90 : 782,283,444,350.85 = 521,522,296,233.90 : x
  2. Step 2: Convert to fraction form
    521,522,296,233.90/782,283,444,350.85 = 521,522,296,233.90/x
  3. Step 3: Cross multiply
    521,522,296,233.90x = 782,283,444,350.85 × 521,522,296,233.90
  4. Step 4: Simplify right side
    521,522,296,233.90x = 407,978,258,203,619,627,106,304
  5. Step 5: Solve for x
    x = 407,978,258,203,619,627,106,304/521,522,296,233.90
  6. Step 6: Final answer
    x = 782,283,444,350.85

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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.