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Finding the Fourth Proportional to 982,693,573,059.83, 1,474,040,359,589.80 and 982,693,573,059.83

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Solution

The fourth proportional to 982,693,573,059.83, 1,474,040,359,589.80 and 982,693,573,059.83 is: 1,474,040,359,589.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    982,693,573,059.83 : 1,474,040,359,589.80 = 982,693,573,059.83 : x
  2. Step 2: Convert to fraction form
    982,693,573,059.83/1,474,040,359,589.80 = 982,693,573,059.83/x
  3. Step 3: Cross multiply
    982,693,573,059.83x = 1,474,040,359,589.80 × 982,693,573,059.83
  4. Step 4: Simplify right side
    982,693,573,059.83x = 1,448,529,987,799,697,275,748,352
  5. Step 5: Solve for x
    x = 1,448,529,987,799,697,275,748,352/982,693,573,059.83
  6. Step 6: Final answer
    x = 1,474,040,359,589.80

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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.