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Finding the Fourth Proportional to 217,227,584,123.80, 325,841,376,185.70 and 217,227,584,123.80

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Solution

The fourth proportional to 217,227,584,123.80, 325,841,376,185.70 and 217,227,584,123.80 is: 325,841,376,185.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,227,584,123.80 : 325,841,376,185.70 = 217,227,584,123.80 : x
  2. Step 2: Convert to fraction form
    217,227,584,123.80/325,841,376,185.70 = 217,227,584,123.80/x
  3. Step 3: Cross multiply
    217,227,584,123.80x = 325,841,376,185.70 × 217,227,584,123.80
  4. Step 4: Simplify right side
    217,227,584,123.80x = 70,781,734,956,393,906,044,928
  5. Step 5: Solve for x
    x = 70,781,734,956,393,906,044,928/217,227,584,123.80
  6. Step 6: Final answer
    x = 325,841,376,185.70

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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.