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Finding the Fourth Proportional to 183,890,405,969.17, 275,835,608,953.78 and 183,890,405,969.17

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Solution

The fourth proportional to 183,890,405,969.17, 275,835,608,953.78 and 183,890,405,969.17 is: 275,835,608,953.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,890,405,969.17 : 275,835,608,953.78 = 183,890,405,969.17 : x
  2. Step 2: Convert to fraction form
    183,890,405,969.17/275,835,608,953.78 = 183,890,405,969.17/x
  3. Step 3: Cross multiply
    183,890,405,969.17x = 275,835,608,953.78 × 183,890,405,969.17
  4. Step 4: Simplify right side
    183,890,405,969.17x = 50,723,522,111,263,838,568,448
  5. Step 5: Solve for x
    x = 50,723,522,111,263,838,568,448/183,890,405,969.17
  6. Step 6: Final answer
    x = 275,835,608,953.78

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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.