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Finding the Fourth Proportional to 267,683,247.80, 401,524,871.70 and 199,658,799.80

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Solution

The fourth proportional to 267,683,247.80, 401,524,871.70 and 199,658,799.80 is: 299,488,199.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,683,247.80 : 401,524,871.70 = 199,658,799.80 : x
  2. Step 2: Convert to fraction form
    267,683,247.80/401,524,871.70 = 199,658,799.80/x
  3. Step 3: Cross multiply
    267,683,247.80x = 401,524,871.70 × 199,658,799.80
  4. Step 4: Simplify right side
    267,683,247.80x = 80,167,973,973,470,992
  5. Step 5: Solve for x
    x = 80,167,973,973,470,992/267,683,247.80
  6. Step 6: Final answer
    x = 299,488,199.70

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1.5x scale

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.