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Finding the Fourth Proportional to 708,694,749.20, 1,061,026,584.60 and 708,694,749.20

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Solution

The fourth proportional to 708,694,749.20, 1,061,026,584.60 and 708,694,749.20 is: 1,061,026,584.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    708,694,749.20 : 1,061,026,584.60 = 708,694,749.20 : x
  2. Step 2: Convert to fraction form
    708,694,749.20/1,061,026,584.60 = 708,694,749.20/x
  3. Step 3: Cross multiply
    708,694,749.20x = 1,061,026,584.60 × 708,694,749.20
  4. Step 4: Simplify right side
    708,694,749.20x = 751,943,969,267,629,696
  5. Step 5: Solve for x
    x = 751,943,969,267,629,696/708,694,749.20
  6. Step 6: Final answer
    x = 1,061,026,584.60

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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.