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Finding the Fourth Proportional to 10,684,669,662,665, 16,027,004,493,998 and 10,684,669,662,665

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Solution

The fourth proportional to 10,684,669,662,665, 16,027,004,493,998 and 10,684,669,662,665 is: 16,027,004,493,998

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,684,669,662,665 : 16,027,004,493,998 = 10,684,669,662,665 : x
  2. Step 2: Convert to fraction form
    10,684,669,662,665/16,027,004,493,998 = 10,684,669,662,665/x
  3. Step 3: Cross multiply
    10,684,669,662,665x = 16,027,004,493,998 × 10,684,669,662,665
  4. Step 4: Simplify right side
    10,684,669,662,665x = 171,243,248,700,416,055,285,121,024
  5. Step 5: Solve for x
    x = 171,243,248,700,416,055,285,121,024/10,684,669,662,665
  6. Step 6: Final answer
    x = 16,027,004,493,998

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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.