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Finding the Fourth Proportional to 1,275,816,472, 1,760,627,979.84 and 689,105,608

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Solution

The fourth proportional to 1,275,816,472, 1,760,627,979.84 and 689,105,608 is: 950,966,413.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,275,816,472 : 1,760,627,979.84 = 689,105,608 : x
  2. Step 2: Convert to fraction form
    1,275,816,472/1,760,627,979.84 = 689,105,608/x
  3. Step 3: Cross multiply
    1,275,816,472x = 1,760,627,979.84 × 689,105,608
  4. Step 4: Simplify right side
    1,275,816,472x = 1,213,258,614,509,454,848
  5. Step 5: Solve for x
    x = 1,213,258,614,509,454,848/1,275,816,472
  6. Step 6: Final answer
    x = 950,966,413.38

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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.