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Finding the Fourth Proportional to 664,280,849.70, 996,421,274.55 and 664,280,849.70

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Solution

The fourth proportional to 664,280,849.70, 996,421,274.55 and 664,280,849.70 is: 996,421,274.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,280,849.70 : 996,421,274.55 = 664,280,849.70 : x
  2. Step 2: Convert to fraction form
    664,280,849.70/996,421,274.55 = 664,280,849.70/x
  3. Step 3: Cross multiply
    664,280,849.70x = 996,421,274.55 × 664,280,849.70
  4. Step 4: Simplify right side
    664,280,849.70x = 661,903,570,917,230,976
  5. Step 5: Solve for x
    x = 661,903,570,917,230,976/664,280,849.70
  6. Step 6: Final answer
    x = 996,421,274.55

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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.