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Finding the Fourth Proportional to 416,019,724.40, 624,029,586.60 and 295,087,372.40

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Solution

The fourth proportional to 416,019,724.40, 624,029,586.60 and 295,087,372.40 is: 442,631,058.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,019,724.40 : 624,029,586.60 = 295,087,372.40 : x
  2. Step 2: Convert to fraction form
    416,019,724.40/624,029,586.60 = 295,087,372.40/x
  3. Step 3: Cross multiply
    416,019,724.40x = 624,029,586.60 × 295,087,372.40
  4. Step 4: Simplify right side
    416,019,724.40x = 184,143,251,009,652,256
  5. Step 5: Solve for x
    x = 184,143,251,009,652,256/416,019,724.40
  6. Step 6: Final answer
    x = 442,631,058.60

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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.