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Finding the Fourth Proportional to 10,163,356,552,729, 15,245,034,829,095 and 10,163,356,552,729

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Solution

The fourth proportional to 10,163,356,552,729, 15,245,034,829,095 and 10,163,356,552,729 is: 15,245,034,829,095

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,163,356,552,729 : 15,245,034,829,095 = 10,163,356,552,729 : x
  2. Step 2: Convert to fraction form
    10,163,356,552,729/15,245,034,829,095 = 10,163,356,552,729/x
  3. Step 3: Cross multiply
    10,163,356,552,729x = 15,245,034,829,095 × 10,163,356,552,729
  4. Step 4: Simplify right side
    10,163,356,552,729x = 154,940,724,626,864,505,484,214,272
  5. Step 5: Solve for x
    x = 154,940,724,626,864,505,484,214,272/10,163,356,552,729
  6. Step 6: Final answer
    x = 15,245,034,829,095

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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.