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Finding the Fourth Proportional to 199,680,216.80, 280,358,519.20 and 199,680,216.80

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Solution

The fourth proportional to 199,680,216.80, 280,358,519.20 and 199,680,216.80 is: 280,358,519.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,680,216.80 : 280,358,519.20 = 199,680,216.80 : x
  2. Step 2: Convert to fraction form
    199,680,216.80/280,358,519.20 = 199,680,216.80/x
  3. Step 3: Cross multiply
    199,680,216.80x = 280,358,519.20 × 199,680,216.80
  4. Step 4: Simplify right side
    199,680,216.80x = 55,982,049,895,582,960
  5. Step 5: Solve for x
    x = 55,982,049,895,582,960/199,680,216.80
  6. Step 6: Final answer
    x = 280,358,519.20

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.