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Finding the Fourth Proportional to 10,684,669,662,703, 16,027,004,494,054 and 10,684,669,662,703

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Solution

The fourth proportional to 10,684,669,662,703, 16,027,004,494,054 and 10,684,669,662,703 is: 16,027,004,494,054

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,684,669,662,703 : 16,027,004,494,054 = 10,684,669,662,703 : x
  2. Step 2: Convert to fraction form
    10,684,669,662,703/16,027,004,494,054 = 10,684,669,662,703/x
  3. Step 3: Cross multiply
    10,684,669,662,703x = 16,027,004,494,054 × 10,684,669,662,703
  4. Step 4: Simplify right side
    10,684,669,662,703x = 171,243,248,701,623,422,131,634,176
  5. Step 5: Solve for x
    x = 171,243,248,701,623,422,131,634,176/10,684,669,662,703
  6. Step 6: Final answer
    x = 16,027,004,494,054

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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.