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Finding the Fourth Proportional to 722,308,964.64, 996,847,847.04 and 409,098,896.88

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Solution

The fourth proportional to 722,308,964.64, 996,847,847.04 and 409,098,896.88 is: 564,591,296.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    722,308,964.64 : 996,847,847.04 = 409,098,896.88 : x
  2. Step 2: Convert to fraction form
    722,308,964.64/996,847,847.04 = 409,098,896.88/x
  3. Step 3: Cross multiply
    722,308,964.64x = 996,847,847.04 × 409,098,896.88
  4. Step 4: Simplify right side
    722,308,964.64x = 407,809,354,581,266,944
  5. Step 5: Solve for x
    x = 407,809,354,581,266,944/722,308,964.64
  6. Step 6: Final answer
    x = 564,591,296.17

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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.