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Finding the Fourth Proportional to 403,906,921.60, 605,860,382.40 and 403,906,921.60

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Solution

The fourth proportional to 403,906,921.60, 605,860,382.40 and 403,906,921.60 is: 605,860,382.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,906,921.60 : 605,860,382.40 = 403,906,921.60 : x
  2. Step 2: Convert to fraction form
    403,906,921.60/605,860,382.40 = 403,906,921.60/x
  3. Step 3: Cross multiply
    403,906,921.60x = 605,860,382.40 × 403,906,921.60
  4. Step 4: Simplify right side
    403,906,921.60x = 244,711,201,974,582,816
  5. Step 5: Solve for x
    x = 244,711,201,974,582,816/403,906,921.60
  6. Step 6: Final answer
    x = 605,860,382.40

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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.