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Finding the Fourth Proportional to 664,282,024.95, 996,423,037.43 and 664,282,024.95

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Solution

The fourth proportional to 664,282,024.95, 996,423,037.43 and 664,282,024.95 is: 996,423,037.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,282,024.95 : 996,423,037.43 = 664,282,024.95 : x
  2. Step 2: Convert to fraction form
    664,282,024.95/996,423,037.43 = 664,282,024.95/x
  3. Step 3: Cross multiply
    664,282,024.95x = 996,423,037.43 × 664,282,024.95
  4. Step 4: Simplify right side
    664,282,024.95x = 661,905,913,007,508,608
  5. Step 5: Solve for x
    x = 661,905,913,007,508,608/664,282,024.95
  6. Step 6: Final answer
    x = 996,423,037.43

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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.