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Finding the Fourth Proportional to 299,384,311.60, 449,076,467.40 and 146,128,682.80

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Solution

The fourth proportional to 299,384,311.60, 449,076,467.40 and 146,128,682.80 is: 219,193,024.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,384,311.60 : 449,076,467.40 = 146,128,682.80 : x
  2. Step 2: Convert to fraction form
    299,384,311.60/449,076,467.40 = 146,128,682.80/x
  3. Step 3: Cross multiply
    299,384,311.60x = 449,076,467.40 × 146,128,682.80
  4. Step 4: Simplify right side
    299,384,311.60x = 65,622,952,657,639,144
  5. Step 5: Solve for x
    x = 65,622,952,657,639,144/299,384,311.60
  6. Step 6: Final answer
    x = 219,193,024.20

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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.