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Finding the Fourth Proportional to 217,943,298,071.70, 326,914,947,107.55 and 217,943,298,071.70

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Solution

The fourth proportional to 217,943,298,071.70, 326,914,947,107.55 and 217,943,298,071.70 is: 326,914,947,107.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,943,298,071.70 : 326,914,947,107.55 = 217,943,298,071.70 : x
  2. Step 2: Convert to fraction form
    217,943,298,071.70/326,914,947,107.55 = 217,943,298,071.70/x
  3. Step 3: Cross multiply
    217,943,298,071.70x = 326,914,947,107.55 × 217,943,298,071.70
  4. Step 4: Simplify right side
    217,943,298,071.70x = 71,248,921,761,554,813,157,376
  5. Step 5: Solve for x
    x = 71,248,921,761,554,813,157,376/217,943,298,071.70
  6. Step 6: Final answer
    x = 326,914,947,107.55

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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.