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Finding the Fourth Proportional to 403,765,206.10, 605,647,809.15 and 403,765,206.10

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Solution

The fourth proportional to 403,765,206.10, 605,647,809.15 and 403,765,206.10 is: 605,647,809.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,765,206.10 : 605,647,809.15 = 403,765,206.10 : x
  2. Step 2: Convert to fraction form
    403,765,206.10/605,647,809.15 = 403,765,206.10/x
  3. Step 3: Cross multiply
    403,765,206.10x = 605,647,809.15 × 403,765,206.10
  4. Step 4: Simplify right side
    403,765,206.10x = 244,539,512,485,463,232
  5. Step 5: Solve for x
    x = 244,539,512,485,463,232/403,765,206.10
  6. Step 6: Final answer
    x = 605,647,809.15

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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.