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Finding the Fourth Proportional to 491,736,762.40, 737,605,143.60 and 463,519,213.60

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Solution

The fourth proportional to 491,736,762.40, 737,605,143.60 and 463,519,213.60 is: 695,278,820.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,736,762.40 : 737,605,143.60 = 463,519,213.60 : x
  2. Step 2: Convert to fraction form
    491,736,762.40/737,605,143.60 = 463,519,213.60/x
  3. Step 3: Cross multiply
    491,736,762.40x = 737,605,143.60 × 463,519,213.60
  4. Step 4: Simplify right side
    491,736,762.40x = 341,894,156,108,787,072
  5. Step 5: Solve for x
    x = 341,894,156,108,787,072/491,736,762.40
  6. Step 6: Final answer
    x = 695,278,820.40

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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.