Home / 216,002,233,741.12-323,677,974,104.16-192,462,628,615.36

Finding the Fourth Proportional to 216,002,233,741.12, 323,677,974,104.16 and 192,462,628,615.36

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Solution

The fourth proportional to 216,002,233,741.12, 323,677,974,104.16 and 192,462,628,615.36 is: 288,404,025,467.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,002,233,741.12 : 323,677,974,104.16 = 192,462,628,615.36 : x
  2. Step 2: Convert to fraction form
    216,002,233,741.12/323,677,974,104.16 = 192,462,628,615.36/x
  3. Step 3: Cross multiply
    216,002,233,741.12x = 323,677,974,104.16 × 192,462,628,615.36
  4. Step 4: Simplify right side
    216,002,233,741.12x = 62,295,913,720,981,045,116,928
  5. Step 5: Solve for x
    x = 62,295,913,720,981,045,116,928/216,002,233,741.12
  6. Step 6: Final answer
    x = 288,404,025,467.83

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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.