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Finding the Fourth Proportional to 647,693,243.52, 971,539,083.36 and 210,993,215.28

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Solution

The fourth proportional to 647,693,243.52, 971,539,083.36 and 210,993,215.28 is: 316,489,568.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,693,243.52 : 971,539,083.36 = 210,993,215.28 : x
  2. Step 2: Convert to fraction form
    647,693,243.52/971,539,083.36 = 210,993,215.28/x
  3. Step 3: Cross multiply
    647,693,243.52x = 971,539,083.36 × 210,993,215.28
  4. Step 4: Simplify right side
    647,693,243.52x = 204,988,154,968,310,336
  5. Step 5: Solve for x
    x = 204,988,154,968,310,336/647,693,243.52
  6. Step 6: Final answer
    x = 316,489,568.20

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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.