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Finding the Fourth Proportional to 275,076,015.40, 412,614,023.10 and 275,076,015.40

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Solution

The fourth proportional to 275,076,015.40, 412,614,023.10 and 275,076,015.40 is: 412,614,023.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,076,015.40 : 412,614,023.10 = 275,076,015.40 : x
  2. Step 2: Convert to fraction form
    275,076,015.40/412,614,023.10 = 275,076,015.40/x
  3. Step 3: Cross multiply
    275,076,015.40x = 412,614,023.10 × 275,076,015.40
  4. Step 4: Simplify right side
    275,076,015.40x = 113,500,221,372,511,552
  5. Step 5: Solve for x
    x = 113,500,221,372,511,552/275,076,015.40
  6. Step 6: Final answer
    x = 412,614,023.10

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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.