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Finding the Fourth Proportional to 491,003,771.04, 736,602,680.08 and 180,114,274.30

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Solution

The fourth proportional to 491,003,771.04, 736,602,680.08 and 180,114,274.30 is: 270,207,002.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,003,771.04 : 736,602,680.08 = 180,114,274.30 : x
  2. Step 2: Convert to fraction form
    491,003,771.04/736,602,680.08 = 180,114,274.30/x
  3. Step 3: Cross multiply
    491,003,771.04x = 736,602,680.08 × 180,114,274.30
  4. Step 4: Simplify right side
    491,003,771.04x = 132,672,657,170,044,288
  5. Step 5: Solve for x
    x = 132,672,657,170,044,288/491,003,771.04
  6. Step 6: Final answer
    x = 270,207,002.46

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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.