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Finding the Fourth Proportional to 514,876,231.20, 772,314,346.80 and 514,876,231.20

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Solution

The fourth proportional to 514,876,231.20, 772,314,346.80 and 514,876,231.20 is: 772,314,346.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,876,231.20 : 772,314,346.80 = 514,876,231.20 : x
  2. Step 2: Convert to fraction form
    514,876,231.20/772,314,346.80 = 514,876,231.20/x
  3. Step 3: Cross multiply
    514,876,231.20x = 772,314,346.80 × 514,876,231.20
  4. Step 4: Simplify right side
    514,876,231.20x = 397,646,300,182,073,728
  5. Step 5: Solve for x
    x = 397,646,300,182,073,728/514,876,231.20
  6. Step 6: Final answer
    x = 772,314,346.80

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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.