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Finding the Fourth Proportional to 201,906,909.60, 302,860,364.40 and 144,576,016.80

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Solution

The fourth proportional to 201,906,909.60, 302,860,364.40 and 144,576,016.80 is: 216,864,025.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,906,909.60 : 302,860,364.40 = 144,576,016.80 : x
  2. Step 2: Convert to fraction form
    201,906,909.60/302,860,364.40 = 144,576,016.80/x
  3. Step 3: Cross multiply
    201,906,909.60x = 302,860,364.40 × 144,576,016.80
  4. Step 4: Simplify right side
    201,906,909.60x = 43,786,345,131,548,520
  5. Step 5: Solve for x
    x = 43,786,345,131,548,520/201,906,909.60
  6. Step 6: Final answer
    x = 216,864,025.20

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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.