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Finding the Fourth Proportional to 196,992,009.80, 295,488,014.70 and 180,867,696.20

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Solution

The fourth proportional to 196,992,009.80, 295,488,014.70 and 180,867,696.20 is: 271,301,544.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,992,009.80 : 295,488,014.70 = 180,867,696.20 : x
  2. Step 2: Convert to fraction form
    196,992,009.80/295,488,014.70 = 180,867,696.20/x
  3. Step 3: Cross multiply
    196,992,009.80x = 295,488,014.70 × 180,867,696.20
  4. Step 4: Simplify right side
    196,992,009.80x = 53,444,236,473,500,728
  5. Step 5: Solve for x
    x = 53,444,236,473,500,728/196,992,009.80
  6. Step 6: Final answer
    x = 271,301,544.30

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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.