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Finding the Fourth Proportional to 502,521,065.20, 752,080,986.60 and 502,521,065.20

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Solution

The fourth proportional to 502,521,065.20, 752,080,986.60 and 502,521,065.20 is: 752,080,986.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,521,065.20 : 752,080,986.60 = 502,521,065.20 : x
  2. Step 2: Convert to fraction form
    502,521,065.20/752,080,986.60 = 502,521,065.20/x
  3. Step 3: Cross multiply
    502,521,065.20x = 752,080,986.60 × 502,521,065.20
  4. Step 4: Simplify right side
    502,521,065.20x = 377,936,538,502,898,944
  5. Step 5: Solve for x
    x = 377,936,538,502,898,944/502,521,065.20
  6. Step 6: Final answer
    x = 752,080,986.60

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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.