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Finding the Fourth Proportional to 733,083,769.07, 1,099,625,653.62 and 733,083,769.07

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Solution

The fourth proportional to 733,083,769.07, 1,099,625,653.62 and 733,083,769.07 is: 1,099,625,653.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    733,083,769.07 : 1,099,625,653.62 = 733,083,769.07 : x
  2. Step 2: Convert to fraction form
    733,083,769.07/1,099,625,653.62 = 733,083,769.07/x
  3. Step 3: Cross multiply
    733,083,769.07x = 1,099,625,653.62 × 733,083,769.07
  4. Step 4: Simplify right side
    733,083,769.07x = 806,117,718,720,437,248
  5. Step 5: Solve for x
    x = 806,117,718,720,437,248/733,083,769.07
  6. Step 6: Final answer
    x = 1,099,625,653.62

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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.