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Finding the Fourth Proportional to 299,492,063.80, 449,238,095.70 and 200,856,614.20

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Solution

The fourth proportional to 299,492,063.80, 449,238,095.70 and 200,856,614.20 is: 301,284,921.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,492,063.80 : 449,238,095.70 = 200,856,614.20 : x
  2. Step 2: Convert to fraction form
    299,492,063.80/449,238,095.70 = 200,856,614.20/x
  3. Step 3: Cross multiply
    299,492,063.80x = 449,238,095.70 × 200,856,614.20
  4. Step 4: Simplify right side
    299,492,063.80x = 90,232,442,871,957,568
  5. Step 5: Solve for x
    x = 90,232,442,871,957,568/299,492,063.80
  6. Step 6: Final answer
    x = 301,284,921.30

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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.