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Finding the Fourth Proportional to 200,702,844.40, 301,054,266.60 and 200,702,844.40

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Solution

The fourth proportional to 200,702,844.40, 301,054,266.60 and 200,702,844.40 is: 301,054,266.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,702,844.40 : 301,054,266.60 = 200,702,844.40 : x
  2. Step 2: Convert to fraction form
    200,702,844.40/301,054,266.60 = 200,702,844.40/x
  3. Step 3: Cross multiply
    200,702,844.40x = 301,054,266.60 × 200,702,844.40
  4. Step 4: Simplify right side
    200,702,844.40x = 60,422,447,625,375,920
  5. Step 5: Solve for x
    x = 60,422,447,625,375,920/200,702,844.40
  6. Step 6: Final answer
    x = 301,054,266.60

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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.