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Finding the Fourth Proportional to 217,227,584,125.05, 325,841,376,187.57 and 217,227,584,125.05

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Solution

The fourth proportional to 217,227,584,125.05, 325,841,376,187.57 and 217,227,584,125.05 is: 325,841,376,187.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,227,584,125.05 : 325,841,376,187.57 = 217,227,584,125.05 : x
  2. Step 2: Convert to fraction form
    217,227,584,125.05/325,841,376,187.57 = 217,227,584,125.05/x
  3. Step 3: Cross multiply
    217,227,584,125.05x = 325,841,376,187.57 × 217,227,584,125.05
  4. Step 4: Simplify right side
    217,227,584,125.05x = 70,781,734,957,207,424,860,160
  5. Step 5: Solve for x
    x = 70,781,734,957,207,424,860,160/217,227,584,125.05
  6. Step 6: Final answer
    x = 325,841,376,187.57

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Double scale
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1.5x scale

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.