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Finding the Fourth Proportional to 10,684,669,662,070, 16,027,004,493,109 and 10,684,669,662,070

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Solution

The fourth proportional to 10,684,669,662,070, 16,027,004,493,109 and 10,684,669,662,070 is: 16,027,004,493,109

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,684,669,662,070 : 16,027,004,493,109 = 10,684,669,662,070 : x
  2. Step 2: Convert to fraction form
    10,684,669,662,070/16,027,004,493,109 = 10,684,669,662,070/x
  3. Step 3: Cross multiply
    10,684,669,662,070x = 16,027,004,493,109 × 10,684,669,662,070
  4. Step 4: Simplify right side
    10,684,669,662,070x = 171,243,248,681,381,309,985,062,912
  5. Step 5: Solve for x
    x = 171,243,248,681,381,309,985,062,912/10,684,669,662,070
  6. Step 6: Final answer
    x = 16,027,004,493,109

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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.