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Finding the Fourth Proportional to 488,924,672.40, 733,387,008.60 and 161,450,728.20

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Solution

The fourth proportional to 488,924,672.40, 733,387,008.60 and 161,450,728.20 is: 242,176,092.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,924,672.40 : 733,387,008.60 = 161,450,728.20 : x
  2. Step 2: Convert to fraction form
    488,924,672.40/733,387,008.60 = 161,450,728.20/x
  3. Step 3: Cross multiply
    488,924,672.40x = 733,387,008.60 × 161,450,728.20
  4. Step 4: Simplify right side
    488,924,672.40x = 118,405,866,590,889,664
  5. Step 5: Solve for x
    x = 118,405,866,590,889,664/488,924,672.40
  6. Step 6: Final answer
    x = 242,176,092.30

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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.