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Finding the Fourth Proportional to 1,854,296,064,080, 2,781,444,096,120 and 1,854,296,064,080

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Solution

The fourth proportional to 1,854,296,064,080, 2,781,444,096,120 and 1,854,296,064,080 is: 2,781,444,096,120

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,854,296,064,080 : 2,781,444,096,120 = 1,854,296,064,080 : x
  2. Step 2: Convert to fraction form
    1,854,296,064,080/2,781,444,096,120 = 1,854,296,064,080/x
  3. Step 3: Cross multiply
    1,854,296,064,080x = 2,781,444,096,120 × 1,854,296,064,080
  4. Step 4: Simplify right side
    1,854,296,064,080x = 5,157,620,839,893,869,233,438,720
  5. Step 5: Solve for x
    x = 5,157,620,839,893,869,233,438,720/1,854,296,064,080
  6. Step 6: Final answer
    x = 2,781,444,096,120

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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.