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Finding the Fourth Proportional to 664,308,107.10, 996,462,160.65 and 664,308,107.10

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Solution

The fourth proportional to 664,308,107.10, 996,462,160.65 and 664,308,107.10 is: 996,462,160.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,308,107.10 : 996,462,160.65 = 664,308,107.10 : x
  2. Step 2: Convert to fraction form
    664,308,107.10/996,462,160.65 = 664,308,107.10/x
  3. Step 3: Cross multiply
    664,308,107.10x = 996,462,160.65 × 664,308,107.10
  4. Step 4: Simplify right side
    664,308,107.10x = 661,957,891,738,177,664
  5. Step 5: Solve for x
    x = 661,957,891,738,177,664/664,308,107.10
  6. Step 6: Final answer
    x = 996,462,160.65

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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.