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Finding the Fourth Proportional to 664,298,904.70, 996,448,357.05 and 664,298,904.70

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Solution

The fourth proportional to 664,298,904.70, 996,448,357.05 and 664,298,904.70 is: 996,448,357.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,298,904.70 : 996,448,357.05 = 664,298,904.70 : x
  2. Step 2: Convert to fraction form
    664,298,904.70/996,448,357.05 = 664,298,904.70/x
  3. Step 3: Cross multiply
    664,298,904.70x = 996,448,357.05 × 664,298,904.70
  4. Step 4: Simplify right side
    664,298,904.70x = 661,939,552,178,429,568
  5. Step 5: Solve for x
    x = 661,939,552,178,429,568/664,298,904.70
  6. Step 6: Final answer
    x = 996,448,357.05

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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.