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Finding the Fourth Proportional to 271,297,504.80, 406,971,140.40 and 89,545,082.40

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Solution

The fourth proportional to 271,297,504.80, 406,971,140.40 and 89,545,082.40 is: 134,325,836.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,297,504.80 : 406,971,140.40 = 89,545,082.40 : x
  2. Step 2: Convert to fraction form
    271,297,504.80/406,971,140.40 = 89,545,082.40/x
  3. Step 3: Cross multiply
    271,297,504.80x = 406,971,140.40 × 89,545,082.40
  4. Step 4: Simplify right side
    271,297,504.80x = 36,442,264,301,539,968
  5. Step 5: Solve for x
    x = 36,442,264,301,539,968/271,297,504.80
  6. Step 6: Final answer
    x = 134,325,836.61

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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.