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Finding the Fourth Proportional to 550,561,154,383.17, 825,841,731,574.76 and 550,561,154,383.17

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Solution

The fourth proportional to 550,561,154,383.17, 825,841,731,574.76 and 550,561,154,383.17 is: 825,841,731,574.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,561,154,383.17 : 825,841,731,574.76 = 550,561,154,383.17 : x
  2. Step 2: Convert to fraction form
    550,561,154,383.17/825,841,731,574.76 = 550,561,154,383.17/x
  3. Step 3: Cross multiply
    550,561,154,383.17x = 825,841,731,574.76 × 550,561,154,383.17
  4. Step 4: Simplify right side
    550,561,154,383.17x = 454,676,377,073,595,940,077,568
  5. Step 5: Solve for x
    x = 454,676,377,073,595,940,077,568/550,561,154,383.17
  6. Step 6: Final answer
    x = 825,841,731,574.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.