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Finding the Fourth Proportional to 664,282,022.70, 996,423,034.05 and 664,282,022.70

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Solution

The fourth proportional to 664,282,022.70, 996,423,034.05 and 664,282,022.70 is: 996,423,034.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,282,022.70 : 996,423,034.05 = 664,282,022.70 : x
  2. Step 2: Convert to fraction form
    664,282,022.70/996,423,034.05 = 664,282,022.70/x
  3. Step 3: Cross multiply
    664,282,022.70x = 996,423,034.05 × 664,282,022.70
  4. Step 4: Simplify right side
    664,282,022.70x = 661,905,908,523,604,992
  5. Step 5: Solve for x
    x = 661,905,908,523,604,992/664,282,022.70
  6. Step 6: Final answer
    x = 996,423,034.05

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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.