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Finding the Fourth Proportional to 199,325,643.20, 298,988,464.80 and 199,325,643.20

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Solution

The fourth proportional to 199,325,643.20, 298,988,464.80 and 199,325,643.20 is: 298,988,464.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,325,643.20 : 298,988,464.80 = 199,325,643.20 : x
  2. Step 2: Convert to fraction form
    199,325,643.20/298,988,464.80 = 199,325,643.20/x
  3. Step 3: Cross multiply
    199,325,643.20x = 298,988,464.80 × 199,325,643.20
  4. Step 4: Simplify right side
    199,325,643.20x = 59,596,068,055,640,560
  5. Step 5: Solve for x
    x = 59,596,068,055,640,560/199,325,643.20
  6. Step 6: Final answer
    x = 298,988,464.80

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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.