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Finding the Fourth Proportional to 453,642,601.60, 680,463,902.40 and 453,642,601.60

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Solution

The fourth proportional to 453,642,601.60, 680,463,902.40 and 453,642,601.60 is: 680,463,902.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,642,601.60 : 680,463,902.40 = 453,642,601.60 : x
  2. Step 2: Convert to fraction form
    453,642,601.60/680,463,902.40 = 453,642,601.60/x
  3. Step 3: Cross multiply
    453,642,601.60x = 680,463,902.40 × 453,642,601.60
  4. Step 4: Simplify right side
    453,642,601.60x = 308,687,414,979,624,512
  5. Step 5: Solve for x
    x = 308,687,414,979,624,512/453,642,601.60
  6. Step 6: Final answer
    x = 680,463,902.40

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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.