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Finding the Fourth Proportional to 299,553,673.60, 449,380,276.80 and 117,806,780.80

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Solution

The fourth proportional to 299,553,673.60, 449,380,276.80 and 117,806,780.80 is: 176,729,743.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,553,673.60 : 449,380,276.80 = 117,806,780.80 : x
  2. Step 2: Convert to fraction form
    299,553,673.60/449,380,276.80 = 117,806,780.80/x
  3. Step 3: Cross multiply
    299,553,673.60x = 449,380,276.80 × 117,806,780.80
  4. Step 4: Simplify right side
    299,553,673.60x = 52,940,043,764,820,928
  5. Step 5: Solve for x
    x = 52,940,043,764,820,928/299,553,673.60
  6. Step 6: Final answer
    x = 176,729,743.05

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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.