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Finding the Fourth Proportional to 664,271,996.70, 996,407,995.05 and 664,271,996.70

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Solution

The fourth proportional to 664,271,996.70, 996,407,995.05 and 664,271,996.70 is: 996,407,995.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,271,996.70 : 996,407,995.05 = 664,271,996.70 : x
  2. Step 2: Convert to fraction form
    664,271,996.70/996,407,995.05 = 664,271,996.70/x
  3. Step 3: Cross multiply
    664,271,996.70x = 996,407,995.05 × 664,271,996.70
  4. Step 4: Simplify right side
    664,271,996.70x = 661,885,928,399,707,264
  5. Step 5: Solve for x
    x = 661,885,928,399,707,264/664,271,996.70
  6. Step 6: Final answer
    x = 996,407,995.05

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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.