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Finding the Fourth Proportional to 264,848,238,116.58, 397,272,357,174.90 and 264,848,238,116.58

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Solution

The fourth proportional to 264,848,238,116.58, 397,272,357,174.90 and 264,848,238,116.58 is: 397,272,357,174.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,848,238,116.58 : 397,272,357,174.90 = 264,848,238,116.58 : x
  2. Step 2: Convert to fraction form
    264,848,238,116.58/397,272,357,174.90 = 264,848,238,116.58/x
  3. Step 3: Cross multiply
    264,848,238,116.58x = 397,272,357,174.90 × 264,848,238,116.58
  4. Step 4: Simplify right side
    264,848,238,116.58x = 105,216,883,850,192,942,530,560
  5. Step 5: Solve for x
    x = 105,216,883,850,192,942,530,560/264,848,238,116.58
  6. Step 6: Final answer
    x = 397,272,357,174.90

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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.