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Finding the Fourth Proportional to 296,792,202,422.80, 445,188,303,634.20 and 296,792,202,422.80

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Solution

The fourth proportional to 296,792,202,422.80, 445,188,303,634.20 and 296,792,202,422.80 is: 445,188,303,634.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,792,202,422.80 : 445,188,303,634.20 = 296,792,202,422.80 : x
  2. Step 2: Convert to fraction form
    296,792,202,422.80/445,188,303,634.20 = 296,792,202,422.80/x
  3. Step 3: Cross multiply
    296,792,202,422.80x = 445,188,303,634.20 × 296,792,202,422.80
  4. Step 4: Simplify right side
    296,792,202,422.80x = 132,128,417,128,464,437,477,376
  5. Step 5: Solve for x
    x = 132,128,417,128,464,437,477,376/296,792,202,422.80
  6. Step 6: Final answer
    x = 445,188,303,634.20

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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.