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Finding the Fourth Proportional to 562,251,800.94, 775,897,757.91 and 311,351,219.70

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Solution

The fourth proportional to 562,251,800.94, 775,897,757.91 and 311,351,219.70 is: 429,659,296.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,251,800.94 : 775,897,757.91 = 311,351,219.70 : x
  2. Step 2: Convert to fraction form
    562,251,800.94/775,897,757.91 = 311,351,219.70/x
  3. Step 3: Cross multiply
    562,251,800.94x = 775,897,757.91 × 311,351,219.70
  4. Step 4: Simplify right side
    562,251,800.94x = 241,576,713,287,773,792
  5. Step 5: Solve for x
    x = 241,576,713,287,773,792/562,251,800.94
  6. Step 6: Final answer
    x = 429,659,296.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.