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Finding the Fourth Proportional to 480,168,081.30, 674,049,299.10 and 480,168,081.30

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Solution

The fourth proportional to 480,168,081.30, 674,049,299.10 and 480,168,081.30 is: 674,049,299.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,168,081.30 : 674,049,299.10 = 480,168,081.30 : x
  2. Step 2: Convert to fraction form
    480,168,081.30/674,049,299.10 = 480,168,081.30/x
  3. Step 3: Cross multiply
    480,168,081.30x = 674,049,299.10 × 480,168,081.30
  4. Step 4: Simplify right side
    480,168,081.30x = 323,656,958,650,456,832
  5. Step 5: Solve for x
    x = 323,656,958,650,456,832/480,168,081.30
  6. Step 6: Final answer
    x = 674,049,299.10

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.