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Finding the Fourth Proportional to 497,992,062.60, 746,988,093.90 and 325,999,384.20

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Solution

The fourth proportional to 497,992,062.60, 746,988,093.90 and 325,999,384.20 is: 488,999,076.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,992,062.60 : 746,988,093.90 = 325,999,384.20 : x
  2. Step 2: Convert to fraction form
    497,992,062.60/746,988,093.90 = 325,999,384.20/x
  3. Step 3: Cross multiply
    497,992,062.60x = 746,988,093.90 × 325,999,384.20
  4. Step 4: Simplify right side
    497,992,062.60x = 243,517,658,616,131,744
  5. Step 5: Solve for x
    x = 243,517,658,616,131,744/497,992,062.60
  6. Step 6: Final answer
    x = 488,999,076.30

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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.