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Finding the Fourth Proportional to 271,281,286.80, 406,946,813.40 and 89,528,864.40

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Solution

The fourth proportional to 271,281,286.80, 406,946,813.40 and 89,528,864.40 is: 134,301,508.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,281,286.80 : 406,946,813.40 = 89,528,864.40 : x
  2. Step 2: Convert to fraction form
    271,281,286.80/406,946,813.40 = 89,528,864.40/x
  3. Step 3: Cross multiply
    271,281,286.80x = 406,946,813.40 × 89,528,864.40
  4. Step 4: Simplify right side
    271,281,286.80x = 36,433,486,074,900,704
  5. Step 5: Solve for x
    x = 36,433,486,074,900,704/271,281,286.80
  6. Step 6: Final answer
    x = 134,301,508.61

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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.