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Finding the Fourth Proportional to 217,943,298,073.20, 326,914,947,109.80 and 217,943,298,073.20

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Solution

The fourth proportional to 217,943,298,073.20, 326,914,947,109.80 and 217,943,298,073.20 is: 326,914,947,109.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,943,298,073.20 : 326,914,947,109.80 = 217,943,298,073.20 : x
  2. Step 2: Convert to fraction form
    217,943,298,073.20/326,914,947,109.80 = 217,943,298,073.20/x
  3. Step 3: Cross multiply
    217,943,298,073.20x = 326,914,947,109.80 × 217,943,298,073.20
  4. Step 4: Simplify right side
    217,943,298,073.20x = 71,248,921,762,535,558,873,088
  5. Step 5: Solve for x
    x = 71,248,921,762,535,558,873,088/217,943,298,073.20
  6. Step 6: Final answer
    x = 326,914,947,109.80

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Double scale
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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.