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Finding the Fourth Proportional to 271,297,422.80, 406,971,017.40 and 89,545,000.40

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Solution

The fourth proportional to 271,297,422.80, 406,971,017.40 and 89,545,000.40 is: 134,325,713.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,297,422.80 : 406,971,017.40 = 89,545,000.40 : x
  2. Step 2: Convert to fraction form
    271,297,422.80/406,971,017.40 = 89,545,000.40/x
  3. Step 3: Cross multiply
    271,297,422.80x = 406,971,017.40 × 89,545,000.40
  4. Step 4: Simplify right side
    271,297,422.80x = 36,442,219,915,871,408
  5. Step 5: Solve for x
    x = 36,442,219,915,871,408/271,297,422.80
  6. Step 6: Final answer
    x = 134,325,713.60

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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.