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Finding the Fourth Proportional to 392,202,300.60, 588,240,465.30 and 119,509,644.60

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Solution

The fourth proportional to 392,202,300.60, 588,240,465.30 and 119,509,644.60 is: 179,245,274.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,202,300.60 : 588,240,465.30 = 119,509,644.60 : x
  2. Step 2: Convert to fraction form
    392,202,300.60/588,240,465.30 = 119,509,644.60/x
  3. Step 3: Cross multiply
    392,202,300.60x = 588,240,465.30 × 119,509,644.60
  4. Step 4: Simplify right side
    392,202,300.60x = 70,300,408,947,341,624
  5. Step 5: Solve for x
    x = 70,300,408,947,341,624/392,202,300.60
  6. Step 6: Final answer
    x = 179,245,274.29

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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.