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Finding the Fourth Proportional to 314,903,843.60, 472,323,872.82 and 84,896,178.80

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Solution

The fourth proportional to 314,903,843.60, 472,323,872.82 and 84,896,178.80 is: 127,335,670.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,903,843.60 : 472,323,872.82 = 84,896,178.80 : x
  2. Step 2: Convert to fraction form
    314,903,843.60/472,323,872.82 = 84,896,178.80/x
  3. Step 3: Cross multiply
    314,903,843.60x = 472,323,872.82 × 84,896,178.80
  4. Step 4: Simplify right side
    314,903,843.60x = 40,098,491,958,435,176
  5. Step 5: Solve for x
    x = 40,098,491,958,435,176/314,903,843.60
  6. Step 6: Final answer
    x = 127,335,670.15

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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.