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Finding the Fourth Proportional to 109,969,383.90, 164,954,075.85 and 109,969,383.90

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Solution

The fourth proportional to 109,969,383.90, 164,954,075.85 and 109,969,383.90 is: 164,954,075.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,969,383.90 : 164,954,075.85 = 109,969,383.90 : x
  2. Step 2: Convert to fraction form
    109,969,383.90/164,954,075.85 = 109,969,383.90/x
  3. Step 3: Cross multiply
    109,969,383.90x = 164,954,075.85 × 109,969,383.90
  4. Step 4: Simplify right side
    109,969,383.90x = 18,139,898,093,018,368
  5. Step 5: Solve for x
    x = 18,139,898,093,018,368/109,969,383.90
  6. Step 6: Final answer
    x = 164,954,075.85

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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.