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Finding the Fourth Proportional to 10,163,356,552,764, 15,245,034,829,148 and 10,163,356,552,764

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Solution

The fourth proportional to 10,163,356,552,764, 15,245,034,829,148 and 10,163,356,552,764 is: 15,245,034,829,148

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,163,356,552,764 : 15,245,034,829,148 = 10,163,356,552,764 : x
  2. Step 2: Convert to fraction form
    10,163,356,552,764/15,245,034,829,148 = 10,163,356,552,764/x
  3. Step 3: Cross multiply
    10,163,356,552,764x = 15,245,034,829,148 × 10,163,356,552,764
  4. Step 4: Simplify right side
    10,163,356,552,764x = 154,940,724,627,936,735,479,726,080
  5. Step 5: Solve for x
    x = 154,940,724,627,936,735,479,726,080/10,163,356,552,764
  6. Step 6: Final answer
    x = 15,245,034,829,148

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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.