Home / 203,960,013,400.48-305,940,594,059.76-78,229,150,703.76

Finding the Fourth Proportional to 203,960,013,400.48, 305,940,594,059.76 and 78,229,150,703.76

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Solution

The fourth proportional to 203,960,013,400.48, 305,940,594,059.76 and 78,229,150,703.76 is: 117,343,946,198.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,960,013,400.48 : 305,940,594,059.76 = 78,229,150,703.76 : x
  2. Step 2: Convert to fraction form
    203,960,013,400.48/305,940,594,059.76 = 78,229,150,703.76/x
  3. Step 3: Cross multiply
    203,960,013,400.48x = 305,940,594,059.76 × 78,229,150,703.76
  4. Step 4: Simplify right side
    203,960,013,400.48x = 23,933,472,839,098,825,703,424
  5. Step 5: Solve for x
    x = 23,933,472,839,098,825,703,424/203,960,013,400.48
  6. Step 6: Final answer
    x = 117,343,946,198.44

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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.