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Finding the Fourth Proportional to 431,569,144.05, 647,353,716.08 and 431,569,144.05

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Solution

The fourth proportional to 431,569,144.05, 647,353,716.08 and 431,569,144.05 is: 647,353,716.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,569,144.05 : 647,353,716.08 = 431,569,144.05 : x
  2. Step 2: Convert to fraction form
    431,569,144.05/647,353,716.08 = 431,569,144.05/x
  3. Step 3: Cross multiply
    431,569,144.05x = 647,353,716.08 × 431,569,144.05
  4. Step 4: Simplify right side
    431,569,144.05x = 279,377,889,146,232,352
  5. Step 5: Solve for x
    x = 279,377,889,146,232,352/431,569,144.05
  6. Step 6: Final answer
    x = 647,353,716.08

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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.