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Finding the Fourth Proportional to 202,100,612.80, 302,584,048.80 and 196,431,908.80

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Solution

The fourth proportional to 202,100,612.80, 302,584,048.80 and 196,431,908.80 is: 294,096,892.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,100,612.80 : 302,584,048.80 = 196,431,908.80 : x
  2. Step 2: Convert to fraction form
    202,100,612.80/302,584,048.80 = 196,431,908.80/x
  3. Step 3: Cross multiply
    202,100,612.80x = 302,584,048.80 × 196,431,908.80
  4. Step 4: Simplify right side
    202,100,612.80x = 59,437,162,278,216,352
  5. Step 5: Solve for x
    x = 59,437,162,278,216,352/202,100,612.80
  6. Step 6: Final answer
    x = 294,096,892.90

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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.