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Finding the Fourth Proportional to 3,387,785,517,578, 5,081,678,276,366.50 and 3,387,785,517,578

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Solution

The fourth proportional to 3,387,785,517,578, 5,081,678,276,366.50 and 3,387,785,517,578 is: 5,081,678,276,366.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,387,785,517,578 : 5,081,678,276,366.50 = 3,387,785,517,578 : x
  2. Step 2: Convert to fraction form
    3,387,785,517,578/5,081,678,276,366.50 = 3,387,785,517,578/x
  3. Step 3: Cross multiply
    3,387,785,517,578x = 5,081,678,276,366.50 × 3,387,785,517,578
  4. Step 4: Simplify right side
    3,387,785,517,578x = 17,215,636,069,665,161,865,068,544
  5. Step 5: Solve for x
    x = 17,215,636,069,665,161,865,068,544/3,387,785,517,578
  6. Step 6: Final answer
    x = 5,081,678,276,366.50

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1.5x scale

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.