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Finding the Fourth Proportional to 405,551,813.49, 608,327,720.23 and 405,551,813.49

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Solution

The fourth proportional to 405,551,813.49, 608,327,720.23 and 405,551,813.49 is: 608,327,720.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,551,813.49 : 608,327,720.23 = 405,551,813.49 : x
  2. Step 2: Convert to fraction form
    405,551,813.49/608,327,720.23 = 405,551,813.49/x
  3. Step 3: Cross multiply
    405,551,813.49x = 608,327,720.23 × 405,551,813.49
  4. Step 4: Simplify right side
    405,551,813.49x = 246,708,410,135,513,888
  5. Step 5: Solve for x
    x = 246,708,410,135,513,888/405,551,813.49
  6. Step 6: Final answer
    x = 608,327,720.23

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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.