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Finding the Fourth Proportional to 264,848,238,028.40, 397,272,357,042.60 and 264,848,238,028.40

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Solution

The fourth proportional to 264,848,238,028.40, 397,272,357,042.60 and 264,848,238,028.40 is: 397,272,357,042.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,848,238,028.40 : 397,272,357,042.60 = 264,848,238,028.40 : x
  2. Step 2: Convert to fraction form
    264,848,238,028.40/397,272,357,042.60 = 264,848,238,028.40/x
  3. Step 3: Cross multiply
    264,848,238,028.40x = 397,272,357,042.60 × 264,848,238,028.40
  4. Step 4: Simplify right side
    264,848,238,028.40x = 105,216,883,780,122,027,491,328
  5. Step 5: Solve for x
    x = 105,216,883,780,122,027,491,328/264,848,238,028.40
  6. Step 6: Final answer
    x = 397,272,357,042.60

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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.