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Finding the Fourth Proportional to 10,163,356,552,689, 15,245,034,829,034 and 10,163,356,552,689

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Solution

The fourth proportional to 10,163,356,552,689, 15,245,034,829,034 and 10,163,356,552,689 is: 15,245,034,829,034

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,163,356,552,689 : 15,245,034,829,034 = 10,163,356,552,689 : x
  2. Step 2: Convert to fraction form
    10,163,356,552,689/15,245,034,829,034 = 10,163,356,552,689/x
  3. Step 3: Cross multiply
    10,163,356,552,689x = 15,245,034,829,034 × 10,163,356,552,689
  4. Step 4: Simplify right side
    10,163,356,552,689x = 154,940,724,625,634,736,088,285,184
  5. Step 5: Solve for x
    x = 154,940,724,625,634,736,088,285,184/10,163,356,552,689
  6. Step 6: Final answer
    x = 15,245,034,829,034

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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.