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Finding the Fourth Proportional to 551,622,026,516.20, 827,433,039,774.30 and 551,622,026,516.20

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Solution

The fourth proportional to 551,622,026,516.20, 827,433,039,774.30 and 551,622,026,516.20 is: 827,433,039,774.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,622,026,516.20 : 827,433,039,774.30 = 551,622,026,516.20 : x
  2. Step 2: Convert to fraction form
    551,622,026,516.20/827,433,039,774.30 = 551,622,026,516.20/x
  3. Step 3: Cross multiply
    551,622,026,516.20x = 827,433,039,774.30 × 551,622,026,516.20
  4. Step 4: Simplify right side
    551,622,026,516.20x = 456,430,290,206,758,856,032,256
  5. Step 5: Solve for x
    x = 456,430,290,206,758,856,032,256/551,622,026,516.20
  6. Step 6: Final answer
    x = 827,433,039,774.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.