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Finding the Fourth Proportional to 594,863,998.65, 892,295,997.98 and 411,197,989.05

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Solution

The fourth proportional to 594,863,998.65, 892,295,997.98 and 411,197,989.05 is: 616,796,983.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,863,998.65 : 892,295,997.98 = 411,197,989.05 : x
  2. Step 2: Convert to fraction form
    594,863,998.65/892,295,997.98 = 411,197,989.05/x
  3. Step 3: Cross multiply
    594,863,998.65x = 892,295,997.98 × 411,197,989.05
  4. Step 4: Simplify right side
    594,863,998.65x = 366,910,320,004,682,880
  5. Step 5: Solve for x
    x = 366,910,320,004,682,880/594,863,998.65
  6. Step 6: Final answer
    x = 616,796,983.58

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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.