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Finding the Fourth Proportional to 271,297,072.80, 406,970,492.40 and 89,544,650.40

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Solution

The fourth proportional to 271,297,072.80, 406,970,492.40 and 89,544,650.40 is: 134,325,188.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,297,072.80 : 406,970,492.40 = 89,544,650.40 : x
  2. Step 2: Convert to fraction form
    271,297,072.80/406,970,492.40 = 89,544,650.40/x
  3. Step 3: Cross multiply
    271,297,072.80x = 406,970,492.40 × 89,544,650.40
  4. Step 4: Simplify right side
    271,297,072.80x = 36,442,030,465,073,856
  5. Step 5: Solve for x
    x = 36,442,030,465,073,856/271,297,072.80
  6. Step 6: Final answer
    x = 134,325,188.58

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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.