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Finding the Fourth Proportional to 664,299,743.10, 996,449,614.65 and 664,299,743.10

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Solution

The fourth proportional to 664,299,743.10, 996,449,614.65 and 664,299,743.10 is: 996,449,614.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,299,743.10 : 996,449,614.65 = 664,299,743.10 : x
  2. Step 2: Convert to fraction form
    664,299,743.10/996,449,614.65 = 664,299,743.10/x
  3. Step 3: Cross multiply
    664,299,743.10x = 996,449,614.65 × 664,299,743.10
  4. Step 4: Simplify right side
    664,299,743.10x = 661,941,223,024,088,960
  5. Step 5: Solve for x
    x = 661,941,223,024,088,960/664,299,743.10
  6. Step 6: Final answer
    x = 996,449,614.65

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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.