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Finding the Fourth Proportional to 733,085,133.15, 1,099,627,699.73 and 733,085,133.15

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Solution

The fourth proportional to 733,085,133.15, 1,099,627,699.73 and 733,085,133.15 is: 1,099,627,699.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    733,085,133.15 : 1,099,627,699.73 = 733,085,133.15 : x
  2. Step 2: Convert to fraction form
    733,085,133.15/1,099,627,699.73 = 733,085,133.15/x
  3. Step 3: Cross multiply
    733,085,133.15x = 1,099,627,699.73 × 733,085,133.15
  4. Step 4: Simplify right side
    733,085,133.15x = 806,120,718,668,329,728
  5. Step 5: Solve for x
    x = 806,120,718,668,329,728/733,085,133.15
  6. Step 6: Final answer
    x = 1,099,627,699.73

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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.