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Finding the Fourth Proportional to 409,641,325,286.40, 614,461,987,929.60 and 409,641,325,286.40

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Solution

The fourth proportional to 409,641,325,286.40, 614,461,987,929.60 and 409,641,325,286.40 is: 614,461,987,929.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,641,325,286.40 : 614,461,987,929.60 = 409,641,325,286.40 : x
  2. Step 2: Convert to fraction form
    409,641,325,286.40/614,461,987,929.60 = 409,641,325,286.40/x
  3. Step 3: Cross multiply
    409,641,325,286.40x = 614,461,987,929.60 × 409,641,325,286.40
  4. Step 4: Simplify right side
    409,641,325,286.40x = 251,709,023,073,597,273,407,488
  5. Step 5: Solve for x
    x = 251,709,023,073,597,273,407,488/409,641,325,286.40
  6. Step 6: Final answer
    x = 614,461,987,929.60

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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.