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Finding the Fourth Proportional to 60,854,976,276.45, 91,282,464,414.68 and 60,854,976,276.45

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Solution

The fourth proportional to 60,854,976,276.45, 91,282,464,414.68 and 60,854,976,276.45 is: 91,282,464,414.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,854,976,276.45 : 91,282,464,414.68 = 60,854,976,276.45 : x
  2. Step 2: Convert to fraction form
    60,854,976,276.45/91,282,464,414.68 = 60,854,976,276.45/x
  3. Step 3: Cross multiply
    60,854,976,276.45x = 91,282,464,414.68 × 60,854,976,276.45
  4. Step 4: Simplify right side
    60,854,976,276.45x = 5,554,992,206,410,938,318,848
  5. Step 5: Solve for x
    x = 5,554,992,206,410,938,318,848/60,854,976,276.45
  6. Step 6: Final answer
    x = 91,282,464,414.68

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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.