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Finding the Fourth Proportional to 1,073,627,571.42, 1,610,907,693.60 and 582,687,689.22

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Solution

The fourth proportional to 1,073,627,571.42, 1,610,907,693.60 and 582,687,689.22 is: 874,284,627.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,073,627,571.42 : 1,610,907,693.60 = 582,687,689.22 : x
  2. Step 2: Convert to fraction form
    1,073,627,571.42/1,610,907,693.60 = 582,687,689.22/x
  3. Step 3: Cross multiply
    1,073,627,571.42x = 1,610,907,693.60 × 582,687,689.22
  4. Step 4: Simplify right side
    1,073,627,571.42x = 938,656,081,530,503,808
  5. Step 5: Solve for x
    x = 938,656,081,530,503,808/1,073,627,571.42
  6. Step 6: Final answer
    x = 874,284,627.67

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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.