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Finding the Fourth Proportional to 216,215,568,015.20, 324,323,352,022.80 and 216,215,568,015.20

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Solution

The fourth proportional to 216,215,568,015.20, 324,323,352,022.80 and 216,215,568,015.20 is: 324,323,352,022.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,215,568,015.20 : 324,323,352,022.80 = 216,215,568,015.20 : x
  2. Step 2: Convert to fraction form
    216,215,568,015.20/324,323,352,022.80 = 216,215,568,015.20/x
  3. Step 3: Cross multiply
    216,215,568,015.20x = 324,323,352,022.80 × 216,215,568,015.20
  4. Step 4: Simplify right side
    216,215,568,015.20x = 70,123,757,778,203,366,653,952
  5. Step 5: Solve for x
    x = 70,123,757,778,203,366,653,952/216,215,568,015.20
  6. Step 6: Final answer
    x = 324,323,352,022.80

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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.