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Finding the Fourth Proportional to 200,455,564.40, 300,683,346.60 and 200,455,564.40

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Solution

The fourth proportional to 200,455,564.40, 300,683,346.60 and 200,455,564.40 is: 300,683,346.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,455,564.40 : 300,683,346.60 = 200,455,564.40 : x
  2. Step 2: Convert to fraction form
    200,455,564.40/300,683,346.60 = 200,455,564.40/x
  3. Step 3: Cross multiply
    200,455,564.40x = 300,683,346.60 × 200,455,564.40
  4. Step 4: Simplify right side
    200,455,564.40x = 60,273,649,948,383,824
  5. Step 5: Solve for x
    x = 60,273,649,948,383,824/200,455,564.40
  6. Step 6: Final answer
    x = 300,683,346.60

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Similar ratio
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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.