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Finding the Fourth Proportional to 200,232,040.80, 281,131,072.80 and 200,232,040.80

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Solution

The fourth proportional to 200,232,040.80, 281,131,072.80 and 200,232,040.80 is: 281,131,072.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,232,040.80 : 281,131,072.80 = 200,232,040.80 : x
  2. Step 2: Convert to fraction form
    200,232,040.80/281,131,072.80 = 200,232,040.80/x
  3. Step 3: Cross multiply
    200,232,040.80x = 281,131,072.80 × 200,232,040.80
  4. Step 4: Simplify right side
    200,232,040.80x = 56,291,448,439,037,376
  5. Step 5: Solve for x
    x = 56,291,448,439,037,376/200,232,040.80
  6. Step 6: Final answer
    x = 281,131,072.80

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.