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Finding the Fourth Proportional to 1,854,296,064,114, 2,781,444,096,171 and 1,854,296,064,114

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Solution

The fourth proportional to 1,854,296,064,114, 2,781,444,096,171 and 1,854,296,064,114 is: 2,781,444,096,171

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,854,296,064,114 : 2,781,444,096,171 = 1,854,296,064,114 : x
  2. Step 2: Convert to fraction form
    1,854,296,064,114/2,781,444,096,171 = 1,854,296,064,114/x
  3. Step 3: Cross multiply
    1,854,296,064,114x = 2,781,444,096,171 × 1,854,296,064,114
  4. Step 4: Simplify right side
    1,854,296,064,114x = 5,157,620,840,083,007,781,994,496
  5. Step 5: Solve for x
    x = 5,157,620,840,083,007,781,994,496/1,854,296,064,114
  6. Step 6: Final answer
    x = 2,781,444,096,171

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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.