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Finding the Fourth Proportional to 510,693,632.62, 766,148,049.42 and 165,620,352.76

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Solution

The fourth proportional to 510,693,632.62, 766,148,049.42 and 165,620,352.76 is: 248,465,424.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,693,632.62 : 766,148,049.42 = 165,620,352.76 : x
  2. Step 2: Convert to fraction form
    510,693,632.62/766,148,049.42 = 165,620,352.76/x
  3. Step 3: Cross multiply
    510,693,632.62x = 766,148,049.42 × 165,620,352.76
  4. Step 4: Simplify right side
    510,693,632.62x = 126,889,710,211,326,304
  5. Step 5: Solve for x
    x = 126,889,710,211,326,304/510,693,632.62
  6. Step 6: Final answer
    x = 248,465,424.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.