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Finding the Fourth Proportional to 10,684,669,662,011, 16,027,004,493,020 and 10,684,669,662,011

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Solution

The fourth proportional to 10,684,669,662,011, 16,027,004,493,020 and 10,684,669,662,011 is: 16,027,004,493,020

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,684,669,662,011 : 16,027,004,493,020 = 10,684,669,662,011 : x
  2. Step 2: Convert to fraction form
    10,684,669,662,011/16,027,004,493,020 = 10,684,669,662,011/x
  3. Step 3: Cross multiply
    10,684,669,662,011x = 16,027,004,493,020 × 10,684,669,662,011
  4. Step 4: Simplify right side
    10,684,669,662,011x = 171,243,248,679,484,789,866,102,784
  5. Step 5: Solve for x
    x = 171,243,248,679,484,789,866,102,784/10,684,669,662,011
  6. Step 6: Final answer
    x = 16,027,004,493,020

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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.