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Finding the Fourth Proportional to 322,217,999.80, 483,326,999.70 and 199,773,993.40

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Solution

The fourth proportional to 322,217,999.80, 483,326,999.70 and 199,773,993.40 is: 299,660,990.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,217,999.80 : 483,326,999.70 = 199,773,993.40 : x
  2. Step 2: Convert to fraction form
    322,217,999.80/483,326,999.70 = 199,773,993.40/x
  3. Step 3: Cross multiply
    322,217,999.80x = 483,326,999.70 × 199,773,993.40
  4. Step 4: Simplify right side
    322,217,999.80x = 96,556,164,848,109,600
  5. Step 5: Solve for x
    x = 96,556,164,848,109,600/322,217,999.80
  6. Step 6: Final answer
    x = 299,660,990.10

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1.5x scale

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.