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Finding the Fourth Proportional to 431,325,723.70, 646,988,585.55 and 431,325,723.70

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Solution

The fourth proportional to 431,325,723.70, 646,988,585.55 and 431,325,723.70 is: 646,988,585.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,325,723.70 : 646,988,585.55 = 431,325,723.70 : x
  2. Step 2: Convert to fraction form
    431,325,723.70/646,988,585.55 = 431,325,723.70/x
  3. Step 3: Cross multiply
    431,325,723.70x = 646,988,585.55 × 431,325,723.70
  4. Step 4: Simplify right side
    431,325,723.70x = 279,062,819,887,993,088
  5. Step 5: Solve for x
    x = 279,062,819,887,993,088/431,325,723.70
  6. Step 6: Final answer
    x = 646,988,585.55

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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.