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Finding the Fourth Proportional to 704,599,796,003.20, 1,056,899,694,004.80 and 704,599,796,003.20

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Solution

The fourth proportional to 704,599,796,003.20, 1,056,899,694,004.80 and 704,599,796,003.20 is: 1,056,899,694,004.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,599,796,003.20 : 1,056,899,694,004.80 = 704,599,796,003.20 : x
  2. Step 2: Convert to fraction form
    704,599,796,003.20/1,056,899,694,004.80 = 704,599,796,003.20/x
  3. Step 3: Cross multiply
    704,599,796,003.20x = 1,056,899,694,004.80 × 704,599,796,003.20
  4. Step 4: Simplify right side
    704,599,796,003.20x = 744,691,308,791,626,582,720,512
  5. Step 5: Solve for x
    x = 744,691,308,791,626,582,720,512/704,599,796,003.20
  6. Step 6: Final answer
    x = 1,056,899,694,004.80

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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.