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Finding the Fourth Proportional to 254,761,708.80, 381,575,692.80 and 209,412,076.80

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Solution

The fourth proportional to 254,761,708.80, 381,575,692.80 and 209,412,076.80 is: 313,652,152.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,761,708.80 : 381,575,692.80 = 209,412,076.80 : x
  2. Step 2: Convert to fraction form
    254,761,708.80/381,575,692.80 = 209,412,076.80/x
  3. Step 3: Cross multiply
    254,761,708.80x = 381,575,692.80 × 209,412,076.80
  4. Step 4: Simplify right side
    254,761,708.80x = 79,906,558,285,646,816
  5. Step 5: Solve for x
    x = 79,906,558,285,646,816/254,761,708.80
  6. Step 6: Final answer
    x = 313,652,152.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.