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Finding the Fourth Proportional to 264,034,569,618.95, 396,051,854,428.42 and 264,034,569,618.95

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Solution

The fourth proportional to 264,034,569,618.95, 396,051,854,428.42 and 264,034,569,618.95 is: 396,051,854,428.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,034,569,618.95 : 396,051,854,428.42 = 264,034,569,618.95 : x
  2. Step 2: Convert to fraction form
    264,034,569,618.95/396,051,854,428.42 = 264,034,569,618.95/x
  3. Step 3: Cross multiply
    264,034,569,618.95x = 396,051,854,428.42 × 264,034,569,618.95
  4. Step 4: Simplify right side
    264,034,569,618.95x = 104,571,380,930,794,915,627,008
  5. Step 5: Solve for x
    x = 104,571,380,930,794,915,627,008/264,034,569,618.95
  6. Step 6: Final answer
    x = 396,051,854,428.42

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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.