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Finding the Fourth Proportional to 274,697,713.80, 412,046,570.70 and 102,138,821.10

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Solution

The fourth proportional to 274,697,713.80, 412,046,570.70 and 102,138,821.10 is: 153,208,231.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,697,713.80 : 412,046,570.70 = 102,138,821.10 : x
  2. Step 2: Convert to fraction form
    274,697,713.80/412,046,570.70 = 102,138,821.10/x
  3. Step 3: Cross multiply
    274,697,713.80x = 412,046,570.70 × 102,138,821.10
  4. Step 4: Simplify right side
    274,697,713.80x = 42,085,950,969,595,800
  5. Step 5: Solve for x
    x = 42,085,950,969,595,800/274,697,713.80
  6. Step 6: Final answer
    x = 153,208,231.65

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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.