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Finding the Fourth Proportional to 201,204,584.40, 301,806,876.60 and 175,695,416.40

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Solution

The fourth proportional to 201,204,584.40, 301,806,876.60 and 175,695,416.40 is: 263,543,124.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,204,584.40 : 301,806,876.60 = 175,695,416.40 : x
  2. Step 2: Convert to fraction form
    201,204,584.40/301,806,876.60 = 175,695,416.40/x
  3. Step 3: Cross multiply
    201,204,584.40x = 301,806,876.60 × 175,695,416.40
  4. Step 4: Simplify right side
    201,204,584.40x = 53,026,084,856,620,424
  5. Step 5: Solve for x
    x = 53,026,084,856,620,424/201,204,584.40
  6. Step 6: Final answer
    x = 263,543,124.60

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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.