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Finding the Fourth Proportional to 664,275,614.10, 996,413,421.15 and 664,275,614.10

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Solution

The fourth proportional to 664,275,614.10, 996,413,421.15 and 664,275,614.10 is: 996,413,421.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,275,614.10 : 996,413,421.15 = 664,275,614.10 : x
  2. Step 2: Convert to fraction form
    664,275,614.10/996,413,421.15 = 664,275,614.10/x
  3. Step 3: Cross multiply
    664,275,614.10x = 996,413,421.15 × 664,275,614.10
  4. Step 4: Simplify right side
    664,275,614.10x = 661,893,137,231,898,240
  5. Step 5: Solve for x
    x = 661,893,137,231,898,240/664,275,614.10
  6. Step 6: Final answer
    x = 996,413,421.15

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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.