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Finding the Fourth Proportional to 449,329,231.60, 673,993,847.40 and 449,329,231.60

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Solution

The fourth proportional to 449,329,231.60, 673,993,847.40 and 449,329,231.60 is: 673,993,847.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,329,231.60 : 673,993,847.40 = 449,329,231.60 : x
  2. Step 2: Convert to fraction form
    449,329,231.60/673,993,847.40 = 449,329,231.60/x
  3. Step 3: Cross multiply
    449,329,231.60x = 673,993,847.40 × 449,329,231.60
  4. Step 4: Simplify right side
    449,329,231.60x = 302,845,137,555,369,664
  5. Step 5: Solve for x
    x = 302,845,137,555,369,664/449,329,231.60
  6. Step 6: Final answer
    x = 673,993,847.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.