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Finding the Fourth Proportional to 201,204,649.60, 301,806,974.40 and 136,156,271.20

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Solution

The fourth proportional to 201,204,649.60, 301,806,974.40 and 136,156,271.20 is: 204,234,406.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,204,649.60 : 301,806,974.40 = 136,156,271.20 : x
  2. Step 2: Convert to fraction form
    201,204,649.60/301,806,974.40 = 136,156,271.20/x
  3. Step 3: Cross multiply
    201,204,649.60x = 301,806,974.40 × 136,156,271.20
  4. Step 4: Simplify right side
    201,204,649.60x = 41,092,912,256,457,848
  5. Step 5: Solve for x
    x = 41,092,912,256,457,848/201,204,649.60
  6. Step 6: Final answer
    x = 204,234,406.80

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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.