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Finding the Fourth Proportional to 253,692,053.60, 380,538,080.40 and 144,852,936.80

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Solution

The fourth proportional to 253,692,053.60, 380,538,080.40 and 144,852,936.80 is: 217,279,405.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,692,053.60 : 380,538,080.40 = 144,852,936.80 : x
  2. Step 2: Convert to fraction form
    253,692,053.60/380,538,080.40 = 144,852,936.80/x
  3. Step 3: Cross multiply
    253,692,053.60x = 380,538,080.40 × 144,852,936.80
  4. Step 4: Simplify right side
    253,692,053.60x = 55,122,058,510,174,520
  5. Step 5: Solve for x
    x = 55,122,058,510,174,520/253,692,053.60
  6. Step 6: Final answer
    x = 217,279,405.20

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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.