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Finding the Fourth Proportional to 234,738,429,349.72, 352,107,644,024.58 and 234,738,429,349.72

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Solution

The fourth proportional to 234,738,429,349.72, 352,107,644,024.58 and 234,738,429,349.72 is: 352,107,644,024.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,738,429,349.72 : 352,107,644,024.58 = 234,738,429,349.72 : x
  2. Step 2: Convert to fraction form
    234,738,429,349.72/352,107,644,024.58 = 234,738,429,349.72/x
  3. Step 3: Cross multiply
    234,738,429,349.72x = 352,107,644,024.58 × 234,738,429,349.72
  4. Step 4: Simplify right side
    234,738,429,349.72x = 82,653,195,320,360,242,774,016
  5. Step 5: Solve for x
    x = 82,653,195,320,360,242,774,016/234,738,429,349.72
  6. Step 6: Final answer
    x = 352,107,644,024.58

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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.