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Finding the Fourth Proportional to 301,751,942.40, 416,452,204.80 and 167,803,223.04

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Solution

The fourth proportional to 301,751,942.40, 416,452,204.80 and 167,803,223.04 is: 231,587,646.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,751,942.40 : 416,452,204.80 = 167,803,223.04 : x
  2. Step 2: Convert to fraction form
    301,751,942.40/416,452,204.80 = 167,803,223.04/x
  3. Step 3: Cross multiply
    301,751,942.40x = 416,452,204.80 × 167,803,223.04
  4. Step 4: Simplify right side
    301,751,942.40x = 69,882,022,207,554,160
  5. Step 5: Solve for x
    x = 69,882,022,207,554,160/301,751,942.40
  6. Step 6: Final answer
    x = 231,587,646.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.