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Finding the Fourth Proportional to 280,932,807.60, 421,231,249.80 and 144,883,911.60

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Solution

The fourth proportional to 280,932,807.60, 421,231,249.80 and 144,883,911.60 is: 217,239,245.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,932,807.60 : 421,231,249.80 = 144,883,911.60 : x
  2. Step 2: Convert to fraction form
    280,932,807.60/421,231,249.80 = 144,883,911.60/x
  3. Step 3: Cross multiply
    280,932,807.60x = 421,231,249.80 × 144,883,911.60
  4. Step 4: Simplify right side
    280,932,807.60x = 61,029,631,159,180,720
  5. Step 5: Solve for x
    x = 61,029,631,159,180,720/280,932,807.60
  6. Step 6: Final answer
    x = 217,239,245.50

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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.