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Finding the Fourth Proportional to 355,687,600.34, 490,838,346.34 and 196,924,799.13

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Solution

The fourth proportional to 355,687,600.34, 490,838,346.34 and 196,924,799.13 is: 271,750,386.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,687,600.34 : 490,838,346.34 = 196,924,799.13 : x
  2. Step 2: Convert to fraction form
    355,687,600.34/490,838,346.34 = 196,924,799.13/x
  3. Step 3: Cross multiply
    355,687,600.34x = 490,838,346.34 × 196,924,799.13
  4. Step 4: Simplify right side
    355,687,600.34x = 96,658,242,760,392,672
  5. Step 5: Solve for x
    x = 96,658,242,760,392,672/355,687,600.34
  6. Step 6: Final answer
    x = 271,750,386.20

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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.