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Finding the Fourth Proportional to 299,076,108.80, 449,076,057.60 and 163,027,212.80

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Solution

The fourth proportional to 299,076,108.80, 449,076,057.60 and 163,027,212.80 is: 244,792,599.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,076,108.80 : 449,076,057.60 = 163,027,212.80 : x
  2. Step 2: Convert to fraction form
    299,076,108.80/449,076,057.60 = 163,027,212.80/x
  3. Step 3: Cross multiply
    299,076,108.80x = 449,076,057.60 × 163,027,212.80
  4. Step 4: Simplify right side
    299,076,108.80x = 73,211,618,005,740,272
  5. Step 5: Solve for x
    x = 73,211,618,005,740,272/299,076,108.80
  6. Step 6: Final answer
    x = 244,792,599.11

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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.