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Finding the Fourth Proportional to 314,909,633.94, 472,310,613.65 and 84,824,910.20

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Solution

The fourth proportional to 314,909,633.94, 472,310,613.65 and 84,824,910.20 is: 127,222,863.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,909,633.94 : 472,310,613.65 = 84,824,910.20 : x
  2. Step 2: Convert to fraction form
    314,909,633.94/472,310,613.65 = 84,824,910.20/x
  3. Step 3: Cross multiply
    314,909,633.94x = 472,310,613.65 × 84,824,910.20
  4. Step 4: Simplify right side
    314,909,633.94x = 40,063,705,386,582,464
  5. Step 5: Solve for x
    x = 40,063,705,386,582,464/314,909,633.94
  6. Step 6: Final answer
    x = 127,222,863.54

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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.