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Finding the Fourth Proportional to 10,163,356,552,804, 15,245,034,829,208 and 10,163,356,552,804

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Solution

The fourth proportional to 10,163,356,552,804, 15,245,034,829,208 and 10,163,356,552,804 is: 15,245,034,829,208

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,163,356,552,804 : 15,245,034,829,208 = 10,163,356,552,804 : x
  2. Step 2: Convert to fraction form
    10,163,356,552,804/15,245,034,829,208 = 10,163,356,552,804/x
  3. Step 3: Cross multiply
    10,163,356,552,804x = 15,245,034,829,208 × 10,163,356,552,804
  4. Step 4: Simplify right side
    10,163,356,552,804x = 154,940,724,629,156,334,393,098,240
  5. Step 5: Solve for x
    x = 154,940,724,629,156,334,393,098,240/10,163,356,552,804
  6. Step 6: Final answer
    x = 15,245,034,829,208

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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.