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Finding the Fourth Proportional to 284,325,563.80, 426,488,345.70 and 232,669,498.60

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Solution

The fourth proportional to 284,325,563.80, 426,488,345.70 and 232,669,498.60 is: 349,004,247.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,325,563.80 : 426,488,345.70 = 232,669,498.60 : x
  2. Step 2: Convert to fraction form
    284,325,563.80/426,488,345.70 = 232,669,498.60/x
  3. Step 3: Cross multiply
    284,325,563.80x = 426,488,345.70 × 232,669,498.60
  4. Step 4: Simplify right side
    284,325,563.80x = 99,230,829,552,762,464
  5. Step 5: Solve for x
    x = 99,230,829,552,762,464/284,325,563.80
  6. Step 6: Final answer
    x = 349,004,247.90

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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.