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Finding the Fourth Proportional to 722,308,478.56, 996,847,174.24 and 409,098,410.88

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Solution

The fourth proportional to 722,308,478.56, 996,847,174.24 and 409,098,410.88 is: 564,590,624.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    722,308,478.56 : 996,847,174.24 = 409,098,410.88 : x
  2. Step 2: Convert to fraction form
    722,308,478.56/996,847,174.24 = 409,098,410.88/x
  3. Step 3: Cross multiply
    722,308,478.56x = 996,847,174.24 × 409,098,410.88
  4. Step 4: Simplify right side
    722,308,478.56x = 407,808,594,871,802,496
  5. Step 5: Solve for x
    x = 407,808,594,871,802,496/722,308,478.56
  6. Step 6: Final answer
    x = 564,590,624.33

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Why These Related Problems?

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