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Finding the Fourth Proportional to 416,352,762.10, 624,081,245.55 and 157,467,949.30

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Solution

The fourth proportional to 416,352,762.10, 624,081,245.55 and 157,467,949.30 is: 236,032,525.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,352,762.10 : 624,081,245.55 = 157,467,949.30 : x
  2. Step 2: Convert to fraction form
    416,352,762.10/624,081,245.55 = 157,467,949.30/x
  3. Step 3: Cross multiply
    416,352,762.10x = 624,081,245.55 × 157,467,949.30
  4. Step 4: Simplify right side
    416,352,762.10x = 98,272,793,933,348,256
  5. Step 5: Solve for x
    x = 98,272,793,933,348,256/416,352,762.10
  6. Step 6: Final answer
    x = 236,032,525.49

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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.