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Finding the Fourth Proportional to 40,930,804,801.30, 61,396,207,201.95 and 40,930,804,801.30

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Solution

The fourth proportional to 40,930,804,801.30, 61,396,207,201.95 and 40,930,804,801.30 is: 61,396,207,201.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,930,804,801.30 : 61,396,207,201.95 = 40,930,804,801.30 : x
  2. Step 2: Convert to fraction form
    40,930,804,801.30/61,396,207,201.95 = 40,930,804,801.30/x
  3. Step 3: Cross multiply
    40,930,804,801.30x = 61,396,207,201.95 × 40,930,804,801.30
  4. Step 4: Simplify right side
    40,930,804,801.30x = 2,512,996,172,523,184,848,896
  5. Step 5: Solve for x
    x = 2,512,996,172,523,184,848,896/40,930,804,801.30
  6. Step 6: Final answer
    x = 61,396,207,201.95

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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.