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Finding the Fourth Proportional to 202,107,410.80, 302,594,245.80 and 196,438,706.80

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Solution

The fourth proportional to 202,107,410.80, 302,594,245.80 and 196,438,706.80 is: 294,107,089.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,107,410.80 : 302,594,245.80 = 196,438,706.80 : x
  2. Step 2: Convert to fraction form
    202,107,410.80/302,594,245.80 = 196,438,706.80/x
  3. Step 3: Cross multiply
    202,107,410.80x = 302,594,245.80 × 196,438,706.80
  4. Step 4: Simplify right side
    202,107,410.80x = 59,441,222,330,073,336
  5. Step 5: Solve for x
    x = 59,441,222,330,073,336/202,107,410.80
  6. Step 6: Final answer
    x = 294,107,089.37

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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.