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Finding the Fourth Proportional to 431,208,544.70, 646,812,817.05 and 431,208,544.70

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Solution

The fourth proportional to 431,208,544.70, 646,812,817.05 and 431,208,544.70 is: 646,812,817.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,208,544.70 : 646,812,817.05 = 431,208,544.70 : x
  2. Step 2: Convert to fraction form
    431,208,544.70/646,812,817.05 = 431,208,544.70/x
  3. Step 3: Cross multiply
    431,208,544.70x = 646,812,817.05 × 431,208,544.70
  4. Step 4: Simplify right side
    431,208,544.70x = 278,911,213,533,437,824
  5. Step 5: Solve for x
    x = 278,911,213,533,437,824/431,208,544.70
  6. Step 6: Final answer
    x = 646,812,817.05

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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.