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Finding the Fourth Proportional to 111,755,963,853.20, 167,633,945,779.80 and 111,755,963,853.20

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Solution

The fourth proportional to 111,755,963,853.20, 167,633,945,779.80 and 111,755,963,853.20 is: 167,633,945,779.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,755,963,853.20 : 167,633,945,779.80 = 111,755,963,853.20 : x
  2. Step 2: Convert to fraction form
    111,755,963,853.20/167,633,945,779.80 = 111,755,963,853.20/x
  3. Step 3: Cross multiply
    111,755,963,853.20x = 167,633,945,779.80 × 111,755,963,853.20
  4. Step 4: Simplify right side
    111,755,963,853.20x = 18,734,093,185,136,614,965,248
  5. Step 5: Solve for x
    x = 18,734,093,185,136,614,965,248/111,755,963,853.20
  6. Step 6: Final answer
    x = 167,633,945,779.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.