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Finding the Fourth Proportional to 202,110,432.80, 302,598,778.80 and 196,441,728.80

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Solution

The fourth proportional to 202,110,432.80, 302,598,778.80 and 196,441,728.80 is: 294,111,622.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,110,432.80 : 302,598,778.80 = 196,441,728.80 : x
  2. Step 2: Convert to fraction form
    202,110,432.80/302,598,778.80 = 196,441,728.80/x
  3. Step 3: Cross multiply
    202,110,432.80x = 302,598,778.80 × 196,441,728.80
  4. Step 4: Simplify right side
    202,110,432.80x = 59,443,027,240,240,792
  5. Step 5: Solve for x
    x = 59,443,027,240,240,792/202,110,432.80
  6. Step 6: Final answer
    x = 294,111,622.13

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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.