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Finding the Fourth Proportional to 469,476,847,089.45, 704,215,270,634.18 and 469,476,847,089.45

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Solution

The fourth proportional to 469,476,847,089.45, 704,215,270,634.18 and 469,476,847,089.45 is: 704,215,270,634.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,476,847,089.45 : 704,215,270,634.18 = 469,476,847,089.45 : x
  2. Step 2: Convert to fraction form
    469,476,847,089.45/704,215,270,634.18 = 469,476,847,089.45/x
  3. Step 3: Cross multiply
    469,476,847,089.45x = 704,215,270,634.18 × 469,476,847,089.45
  4. Step 4: Simplify right side
    469,476,847,089.45x = 330,612,764,929,578,600,759,296
  5. Step 5: Solve for x
    x = 330,612,764,929,578,600,759,296/469,476,847,089.45
  6. Step 6: Final answer
    x = 704,215,270,634.18

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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.