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Finding the Fourth Proportional to 201,635,493.40, 301,781,393.70 and 185,511,179.80

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Solution

The fourth proportional to 201,635,493.40, 301,781,393.70 and 185,511,179.80 is: 277,648,649.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,635,493.40 : 301,781,393.70 = 185,511,179.80 : x
  2. Step 2: Convert to fraction form
    201,635,493.40/301,781,393.70 = 185,511,179.80/x
  3. Step 3: Cross multiply
    201,635,493.40x = 301,781,393.70 × 185,511,179.80
  4. Step 4: Simplify right side
    201,635,493.40x = 55,983,822,386,975,288
  5. Step 5: Solve for x
    x = 55,983,822,386,975,288/201,635,493.40
  6. Step 6: Final answer
    x = 277,648,649.27

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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.