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Finding the Fourth Proportional to 118,738,051.20, 178,107,076.80 and 118,738,051.20

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Solution

The fourth proportional to 118,738,051.20, 178,107,076.80 and 118,738,051.20 is: 178,107,076.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,738,051.20 : 178,107,076.80 = 118,738,051.20 : x
  2. Step 2: Convert to fraction form
    118,738,051.20/178,107,076.80 = 118,738,051.20/x
  3. Step 3: Cross multiply
    118,738,051.20x = 178,107,076.80 × 118,738,051.20
  4. Step 4: Simplify right side
    118,738,051.20x = 21,148,087,204,160,736
  5. Step 5: Solve for x
    x = 21,148,087,204,160,736/118,738,051.20
  6. Step 6: Final answer
    x = 178,107,076.80

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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.