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Finding the Fourth Proportional to 264,398,412.80, 396,455,901.60 and 110,871,012.80

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Solution

The fourth proportional to 264,398,412.80, 396,455,901.60 and 110,871,012.80 is: 166,247,092.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,398,412.80 : 396,455,901.60 = 110,871,012.80 : x
  2. Step 2: Convert to fraction form
    264,398,412.80/396,455,901.60 = 110,871,012.80/x
  3. Step 3: Cross multiply
    264,398,412.80x = 396,455,901.60 × 110,871,012.80
  4. Step 4: Simplify right side
    264,398,412.80x = 43,955,467,340,929,144
  5. Step 5: Solve for x
    x = 43,955,467,340,929,144/264,398,412.80
  6. Step 6: Final answer
    x = 166,247,092.32

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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.