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Finding the Fourth Proportional to 550,561,374,163.35, 825,842,061,245.02 and 550,561,374,163.35

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Solution

The fourth proportional to 550,561,374,163.35, 825,842,061,245.02 and 550,561,374,163.35 is: 825,842,061,245.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,561,374,163.35 : 825,842,061,245.02 = 550,561,374,163.35 : x
  2. Step 2: Convert to fraction form
    550,561,374,163.35/825,842,061,245.02 = 550,561,374,163.35/x
  3. Step 3: Cross multiply
    550,561,374,163.35x = 825,842,061,245.02 × 550,561,374,163.35
  4. Step 4: Simplify right side
    550,561,374,163.35x = 454,676,740,080,951,650,942,976
  5. Step 5: Solve for x
    x = 454,676,740,080,951,650,942,976/550,561,374,163.35
  6. Step 6: Final answer
    x = 825,842,061,245.02

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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.