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Finding the Fourth Proportional to 431,204,048.40, 646,806,072.60 and 431,204,048.40

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Solution

The fourth proportional to 431,204,048.40, 646,806,072.60 and 431,204,048.40 is: 646,806,072.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,204,048.40 : 646,806,072.60 = 431,204,048.40 : x
  2. Step 2: Convert to fraction form
    431,204,048.40/646,806,072.60 = 431,204,048.40/x
  3. Step 3: Cross multiply
    431,204,048.40x = 646,806,072.60 × 431,204,048.40
  4. Step 4: Simplify right side
    431,204,048.40x = 278,905,397,034,824,320
  5. Step 5: Solve for x
    x = 278,905,397,034,824,320/431,204,048.40
  6. Step 6: Final answer
    x = 646,806,072.60

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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.