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Finding the Fourth Proportional to 664,273,361.10, 996,410,041.65 and 664,273,361.10

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Solution

The fourth proportional to 664,273,361.10, 996,410,041.65 and 664,273,361.10 is: 996,410,041.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,273,361.10 : 996,410,041.65 = 664,273,361.10 : x
  2. Step 2: Convert to fraction form
    664,273,361.10/996,410,041.65 = 664,273,361.10/x
  3. Step 3: Cross multiply
    664,273,361.10x = 996,410,041.65 × 664,273,361.10
  4. Step 4: Simplify right side
    664,273,361.10x = 661,888,647,400,636,544
  5. Step 5: Solve for x
    x = 661,888,647,400,636,544/664,273,361.10
  6. Step 6: Final answer
    x = 996,410,041.65

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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.