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Finding the Fourth Proportional to 523,010,608.20, 783,100,334.70 and 409,764,400.20

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Solution

The fourth proportional to 523,010,608.20, 783,100,334.70 and 409,764,400.20 is: 613,537,534.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,010,608.20 : 783,100,334.70 = 409,764,400.20 : x
  2. Step 2: Convert to fraction form
    523,010,608.20/783,100,334.70 = 409,764,400.20/x
  3. Step 3: Cross multiply
    523,010,608.20x = 783,100,334.70 × 409,764,400.20
  4. Step 4: Simplify right side
    523,010,608.20x = 320,886,638,944,764,736
  5. Step 5: Solve for x
    x = 320,886,638,944,764,736/523,010,608.20
  6. Step 6: Final answer
    x = 613,537,534.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.