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Finding the Fourth Proportional to 321,896,455.20, 482,844,682.80 and 117,431,200.80

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Solution

The fourth proportional to 321,896,455.20, 482,844,682.80 and 117,431,200.80 is: 176,146,801.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,896,455.20 : 482,844,682.80 = 117,431,200.80 : x
  2. Step 2: Convert to fraction form
    321,896,455.20/482,844,682.80 = 117,431,200.80/x
  3. Step 3: Cross multiply
    321,896,455.20x = 482,844,682.80 × 117,431,200.80
  4. Step 4: Simplify right side
    321,896,455.20x = 56,701,030,901,099,104
  5. Step 5: Solve for x
    x = 56,701,030,901,099,104/321,896,455.20
  6. Step 6: Final answer
    x = 176,146,801.20

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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.