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Finding the Fourth Proportional to 365,903,711.20, 548,739,043.44 and 120,203,317.36

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Solution

The fourth proportional to 365,903,711.20, 548,739,043.44 and 120,203,317.36 is: 180,266,696.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,903,711.20 : 548,739,043.44 = 120,203,317.36 : x
  2. Step 2: Convert to fraction form
    365,903,711.20/548,739,043.44 = 120,203,317.36/x
  3. Step 3: Cross multiply
    365,903,711.20x = 548,739,043.44 × 120,203,317.36
  4. Step 4: Simplify right side
    365,903,711.20x = 65,960,253,386,441,152
  5. Step 5: Solve for x
    x = 65,960,253,386,441,152/365,903,711.20
  6. Step 6: Final answer
    x = 180,266,696.86

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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.