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Finding the Fourth Proportional to 274,928,936,435.70, 412,393,404,653.55 and 274,928,936,435.70

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Solution

The fourth proportional to 274,928,936,435.70, 412,393,404,653.55 and 274,928,936,435.70 is: 412,393,404,653.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,928,936,435.70 : 412,393,404,653.55 = 274,928,936,435.70 : x
  2. Step 2: Convert to fraction form
    274,928,936,435.70/412,393,404,653.55 = 274,928,936,435.70/x
  3. Step 3: Cross multiply
    274,928,936,435.70x = 412,393,404,653.55 × 274,928,936,435.70
  4. Step 4: Simplify right side
    274,928,936,435.70x = 113,378,880,134,497,762,803,712
  5. Step 5: Solve for x
    x = 113,378,880,134,497,762,803,712/274,928,936,435.70
  6. Step 6: Final answer
    x = 412,393,404,653.55

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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.