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Finding the Fourth Proportional to 264,848,238,116.78, 397,272,357,175.17 and 264,848,238,116.78

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Solution

The fourth proportional to 264,848,238,116.78, 397,272,357,175.17 and 264,848,238,116.78 is: 397,272,357,175.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,848,238,116.78 : 397,272,357,175.17 = 264,848,238,116.78 : x
  2. Step 2: Convert to fraction form
    264,848,238,116.78/397,272,357,175.17 = 264,848,238,116.78/x
  3. Step 3: Cross multiply
    264,848,238,116.78x = 397,272,357,175.17 × 264,848,238,116.78
  4. Step 4: Simplify right side
    264,848,238,116.78x = 105,216,883,850,343,887,142,912
  5. Step 5: Solve for x
    x = 105,216,883,850,343,887,142,912/264,848,238,116.78
  6. Step 6: Final answer
    x = 397,272,357,175.17

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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.