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Finding the Fourth Proportional to 472,395,401.70, 708,593,102.55 and 199,766,168.70

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Solution

The fourth proportional to 472,395,401.70, 708,593,102.55 and 199,766,168.70 is: 299,649,253.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,395,401.70 : 708,593,102.55 = 199,766,168.70 : x
  2. Step 2: Convert to fraction form
    472,395,401.70/708,593,102.55 = 199,766,168.70/x
  3. Step 3: Cross multiply
    472,395,401.70x = 708,593,102.55 × 199,766,168.70
  4. Step 4: Simplify right side
    472,395,401.70x = 141,552,929,263,659,680
  5. Step 5: Solve for x
    x = 141,552,929,263,659,680/472,395,401.70
  6. Step 6: Final answer
    x = 299,649,253.05

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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.