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Finding the Fourth Proportional to 10,163,356,552,723, 15,245,034,829,084 and 10,163,356,552,723

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Solution

The fourth proportional to 10,163,356,552,723, 15,245,034,829,084 and 10,163,356,552,723 is: 15,245,034,829,084

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,163,356,552,723 : 15,245,034,829,084 = 10,163,356,552,723 : x
  2. Step 2: Convert to fraction form
    10,163,356,552,723/15,245,034,829,084 = 10,163,356,552,723/x
  3. Step 3: Cross multiply
    10,163,356,552,723x = 15,245,034,829,084 × 10,163,356,552,723
  4. Step 4: Simplify right side
    10,163,356,552,723x = 154,940,724,626,661,233,272,029,184
  5. Step 5: Solve for x
    x = 154,940,724,626,661,233,272,029,184/10,163,356,552,723
  6. Step 6: Final answer
    x = 15,245,034,829,084

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.