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Finding the Fourth Proportional to 416,352,762.60, 624,081,246.30 and 157,467,949.80

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Solution

The fourth proportional to 416,352,762.60, 624,081,246.30 and 157,467,949.80 is: 236,032,526.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,352,762.60 : 624,081,246.30 = 157,467,949.80 : x
  2. Step 2: Convert to fraction form
    416,352,762.60/624,081,246.30 = 157,467,949.80/x
  3. Step 3: Cross multiply
    416,352,762.60x = 624,081,246.30 × 157,467,949.80
  4. Step 4: Simplify right side
    416,352,762.60x = 98,272,794,363,489,840
  5. Step 5: Solve for x
    x = 98,272,794,363,489,840/416,352,762.60
  6. Step 6: Final answer
    x = 236,032,526.24

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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.