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Finding the Fourth Proportional to 274,886,806.78, 412,628,983.53 and 111,237,232.06

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Solution

The fourth proportional to 274,886,806.78, 412,628,983.53 and 111,237,232.06 is: 166,976,751.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,886,806.78 : 412,628,983.53 = 111,237,232.06 : x
  2. Step 2: Convert to fraction form
    274,886,806.78/412,628,983.53 = 111,237,232.06/x
  3. Step 3: Cross multiply
    274,886,806.78x = 412,628,983.53 × 111,237,232.06
  4. Step 4: Simplify right side
    274,886,806.78x = 45,899,705,995,608,528
  5. Step 5: Solve for x
    x = 45,899,705,995,608,528/274,886,806.78
  6. Step 6: Final answer
    x = 166,976,751.39

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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.