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Finding the Fourth Proportional to 606,486,007.20, 909,729,010.80 and 582,677,450.40

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Solution

The fourth proportional to 606,486,007.20, 909,729,010.80 and 582,677,450.40 is: 874,016,175.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    606,486,007.20 : 909,729,010.80 = 582,677,450.40 : x
  2. Step 2: Convert to fraction form
    606,486,007.20/909,729,010.80 = 582,677,450.40/x
  3. Step 3: Cross multiply
    606,486,007.20x = 909,729,010.80 × 582,677,450.40
  4. Step 4: Simplify right side
    606,486,007.20x = 530,078,580,567,857,984
  5. Step 5: Solve for x
    x = 530,078,580,567,857,984/606,486,007.20
  6. Step 6: Final answer
    x = 874,016,175.60

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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.