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Finding the Fourth Proportional to 271,296,628.80, 406,969,826.40 and 89,544,206.40

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Solution

The fourth proportional to 271,296,628.80, 406,969,826.40 and 89,544,206.40 is: 134,324,522.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,296,628.80 : 406,969,826.40 = 89,544,206.40 : x
  2. Step 2: Convert to fraction form
    271,296,628.80/406,969,826.40 = 89,544,206.40/x
  3. Step 3: Cross multiply
    271,296,628.80x = 406,969,826.40 × 89,544,206.40
  4. Step 4: Simplify right side
    271,296,628.80x = 36,441,790,133,733,768
  5. Step 5: Solve for x
    x = 36,441,790,133,733,768/271,296,628.80
  6. Step 6: Final answer
    x = 134,324,522.55

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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.