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Finding the Fourth Proportional to 491,003,864, 736,602,819.42 and 180,114,367.22

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Solution

The fourth proportional to 491,003,864, 736,602,819.42 and 180,114,367.22 is: 270,207,141.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,003,864 : 736,602,819.42 = 180,114,367.22 : x
  2. Step 2: Convert to fraction form
    491,003,864/736,602,819.42 = 180,114,367.22/x
  3. Step 3: Cross multiply
    491,003,864x = 736,602,819.42 × 180,114,367.22
  4. Step 4: Simplify right side
    491,003,864x = 132,672,750,712,301,216
  5. Step 5: Solve for x
    x = 132,672,750,712,301,216/491,003,864
  6. Step 6: Final answer
    x = 270,207,141.82

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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.