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Finding the Fourth Proportional to 1,854,296,064,513.80, 2,781,444,096,770.80 and 1,854,296,064,513.80

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Solution

The fourth proportional to 1,854,296,064,513.80, 2,781,444,096,770.80 and 1,854,296,064,513.80 is: 2,781,444,096,770.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,854,296,064,513.80 : 2,781,444,096,770.80 = 1,854,296,064,513.80 : x
  2. Step 2: Convert to fraction form
    1,854,296,064,513.80/2,781,444,096,770.80 = 1,854,296,064,513.80/x
  3. Step 3: Cross multiply
    1,854,296,064,513.80x = 2,781,444,096,770.80 × 1,854,296,064,513.80
  4. Step 4: Simplify right side
    1,854,296,064,513.80x = 5,157,620,842,307,234,979,381,248
  5. Step 5: Solve for x
    x = 5,157,620,842,307,234,979,381,248/1,854,296,064,513.80
  6. Step 6: Final answer
    x = 2,781,444,096,770.80

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