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Finding the Fourth Proportional to 1,682,608,378, 2,321,956,783.92 and 940,058,017.60

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Solution

The fourth proportional to 1,682,608,378, 2,321,956,783.92 and 940,058,017.60 is: 1,297,256,164.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,682,608,378 : 2,321,956,783.92 = 940,058,017.60 : x
  2. Step 2: Convert to fraction form
    1,682,608,378/2,321,956,783.92 = 940,058,017.60/x
  3. Step 3: Cross multiply
    1,682,608,378x = 2,321,956,783.92 × 940,058,017.60
  4. Step 4: Simplify right side
    1,682,608,378x = 2,182,774,091,244,706,816
  5. Step 5: Solve for x
    x = 2,182,774,091,244,706,816/1,682,608,378
  6. Step 6: Final answer
    x = 1,297,256,164.76

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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.