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Finding the Fourth Proportional to 275,076,356.40, 412,614,534.60 and 275,076,356.40

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Solution

The fourth proportional to 275,076,356.40, 412,614,534.60 and 275,076,356.40 is: 412,614,534.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,076,356.40 : 412,614,534.60 = 275,076,356.40 : x
  2. Step 2: Convert to fraction form
    275,076,356.40/412,614,534.60 = 275,076,356.40/x
  3. Step 3: Cross multiply
    275,076,356.40x = 412,614,534.60 × 275,076,356.40
  4. Step 4: Simplify right side
    275,076,356.40x = 113,500,502,775,449,728
  5. Step 5: Solve for x
    x = 113,500,502,775,449,728/275,076,356.40
  6. Step 6: Final answer
    x = 412,614,534.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.