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Finding the Fourth Proportional to 725,940,169,329.74, 1,002,249,545,375.20 and 462,113,728,728.18

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Solution

The fourth proportional to 725,940,169,329.74, 1,002,249,545,375.20 and 462,113,728,728.18 is: 638,004,747,632.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    725,940,169,329.74 : 1,002,249,545,375.20 = 462,113,728,728.18 : x
  2. Step 2: Convert to fraction form
    725,940,169,329.74/1,002,249,545,375.20 = 462,113,728,728.18/x
  3. Step 3: Cross multiply
    725,940,169,329.74x = 1,002,249,545,375.20 × 462,113,728,728.18
  4. Step 4: Simplify right side
    725,940,169,329.74x = 463,153,274,529,456,882,450,432
  5. Step 5: Solve for x
    x = 463,153,274,529,456,882,450,432/725,940,169,329.74
  6. Step 6: Final answer
    x = 638,004,747,632.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.