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Finding the Fourth Proportional to 256,914,468.80, 385,259,728.80 and 103,509,540.80

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Solution

The fourth proportional to 256,914,468.80, 385,259,728.80 and 103,509,540.80 is: 155,219,197.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,914,468.80 : 385,259,728.80 = 103,509,540.80 : x
  2. Step 2: Convert to fraction form
    256,914,468.80/385,259,728.80 = 103,509,540.80/x
  3. Step 3: Cross multiply
    256,914,468.80x = 385,259,728.80 × 103,509,540.80
  4. Step 4: Simplify right side
    256,914,468.80x = 39,878,057,616,820,536
  5. Step 5: Solve for x
    x = 39,878,057,616,820,536/256,914,468.80
  6. Step 6: Final answer
    x = 155,219,197.28

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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.