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Finding the Fourth Proportional to 284,873,399.80, 427,310,099.70 and 265,763,102.20

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Solution

The fourth proportional to 284,873,399.80, 427,310,099.70 and 265,763,102.20 is: 398,644,653.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,873,399.80 : 427,310,099.70 = 265,763,102.20 : x
  2. Step 2: Convert to fraction form
    284,873,399.80/427,310,099.70 = 265,763,102.20/x
  3. Step 3: Cross multiply
    284,873,399.80x = 427,310,099.70 × 265,763,102.20
  4. Step 4: Simplify right side
    284,873,399.80x = 113,563,257,697,663,280
  5. Step 5: Solve for x
    x = 113,563,257,697,663,280/284,873,399.80
  6. Step 6: Final answer
    x = 398,644,653.30

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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.