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Finding the Fourth Proportional to 708,588,829.80, 1,062,883,244.70 and 682,760,797.20

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Solution

The fourth proportional to 708,588,829.80, 1,062,883,244.70 and 682,760,797.20 is: 1,024,141,195.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    708,588,829.80 : 1,062,883,244.70 = 682,760,797.20 : x
  2. Step 2: Convert to fraction form
    708,588,829.80/1,062,883,244.70 = 682,760,797.20/x
  3. Step 3: Cross multiply
    708,588,829.80x = 1,062,883,244.70 × 682,760,797.20
  4. Step 4: Simplify right side
    708,588,829.80x = 725,695,011,481,894,784
  5. Step 5: Solve for x
    x = 725,695,011,481,894,784/708,588,829.80
  6. Step 6: Final answer
    x = 1,024,141,195.80

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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.