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Finding the Fourth Proportional to 491,003,771.54, 736,602,680.84 and 180,114,274.80

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Solution

The fourth proportional to 491,003,771.54, 736,602,680.84 and 180,114,274.80 is: 270,207,003.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,003,771.54 : 736,602,680.84 = 180,114,274.80 : x
  2. Step 2: Convert to fraction form
    491,003,771.54/736,602,680.84 = 180,114,274.80/x
  3. Step 3: Cross multiply
    491,003,771.54x = 736,602,680.84 × 180,114,274.80
  4. Step 4: Simplify right side
    491,003,771.54x = 132,672,657,674,331,904
  5. Step 5: Solve for x
    x = 132,672,657,674,331,904/491,003,771.54
  6. Step 6: Final answer
    x = 270,207,003.22

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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.