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Finding the Fourth Proportional to 275,076,077.40, 412,614,116.10 and 275,076,077.40

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Solution

The fourth proportional to 275,076,077.40, 412,614,116.10 and 275,076,077.40 is: 412,614,116.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,076,077.40 : 412,614,116.10 = 275,076,077.40 : x
  2. Step 2: Convert to fraction form
    275,076,077.40/412,614,116.10 = 275,076,077.40/x
  3. Step 3: Cross multiply
    275,076,077.40x = 412,614,116.10 × 275,076,077.40
  4. Step 4: Simplify right side
    275,076,077.40x = 113,500,272,536,656,176
  5. Step 5: Solve for x
    x = 113,500,272,536,656,176/275,076,077.40
  6. Step 6: Final answer
    x = 412,614,116.10

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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.