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Finding the Fourth Proportional to 1,099,747,203.12, 1,517,705,621.10 and 682,194,024

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Solution

The fourth proportional to 1,099,747,203.12, 1,517,705,621.10 and 682,194,024 is: 941,461,548.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099,747,203.12 : 1,517,705,621.10 = 682,194,024 : x
  2. Step 2: Convert to fraction form
    1,099,747,203.12/1,517,705,621.10 = 682,194,024/x
  3. Step 3: Cross multiply
    1,099,747,203.12x = 1,517,705,621.10 × 682,194,024
  4. Step 4: Simplify right side
    1,099,747,203.12x = 1,035,369,704,905,628,288
  5. Step 5: Solve for x
    x = 1,035,369,704,905,628,288/1,099,747,203.12
  6. Step 6: Final answer
    x = 941,461,548.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.