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Finding the Fourth Proportional to 110,761,783.70, 166,142,675.55 and 110,761,783.70

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Solution

The fourth proportional to 110,761,783.70, 166,142,675.55 and 110,761,783.70 is: 166,142,675.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,761,783.70 : 166,142,675.55 = 110,761,783.70 : x
  2. Step 2: Convert to fraction form
    110,761,783.70/166,142,675.55 = 110,761,783.70/x
  3. Step 3: Cross multiply
    110,761,783.70x = 166,142,675.55 × 110,761,783.70
  4. Step 4: Simplify right side
    110,761,783.70x = 18,402,259,092,608,380
  5. Step 5: Solve for x
    x = 18,402,259,092,608,380/110,761,783.70
  6. Step 6: Final answer
    x = 166,142,675.55

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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.