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Finding the Fourth Proportional to 404,541,645.40, 606,812,468.10 and 404,541,645.40

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Solution

The fourth proportional to 404,541,645.40, 606,812,468.10 and 404,541,645.40 is: 606,812,468.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,541,645.40 : 606,812,468.10 = 404,541,645.40 : x
  2. Step 2: Convert to fraction form
    404,541,645.40/606,812,468.10 = 404,541,645.40/x
  3. Step 3: Cross multiply
    404,541,645.40x = 606,812,468.10 × 404,541,645.40
  4. Step 4: Simplify right side
    404,541,645.40x = 245,480,914,294,408,992
  5. Step 5: Solve for x
    x = 245,480,914,294,408,992/404,541,645.40
  6. Step 6: Final answer
    x = 606,812,468.10

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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.