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Finding the Fourth Proportional to 702,581,199.54, 969,244,103.97 and 424,033,682.10

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Solution

The fourth proportional to 702,581,199.54, 969,244,103.97 and 424,033,682.10 is: 584,974,585.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,581,199.54 : 969,244,103.97 = 424,033,682.10 : x
  2. Step 2: Convert to fraction form
    702,581,199.54/969,244,103.97 = 424,033,682.10/x
  3. Step 3: Cross multiply
    702,581,199.54x = 969,244,103.97 × 424,033,682.10
  4. Step 4: Simplify right side
    702,581,199.54x = 410,992,146,260,114,368
  5. Step 5: Solve for x
    x = 410,992,146,260,114,368/702,581,199.54
  6. Step 6: Final answer
    x = 584,974,585.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.