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Finding the Fourth Proportional to 414,464,233.60, 581,099,273.60 and 414,464,233.60

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Solution

The fourth proportional to 414,464,233.60, 581,099,273.60 and 414,464,233.60 is: 581,099,273.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,464,233.60 : 581,099,273.60 = 414,464,233.60 : x
  2. Step 2: Convert to fraction form
    414,464,233.60/581,099,273.60 = 414,464,233.60/x
  3. Step 3: Cross multiply
    414,464,233.60x = 581,099,273.60 × 414,464,233.60
  4. Step 4: Simplify right side
    414,464,233.60x = 240,844,865,078,140,736
  5. Step 5: Solve for x
    x = 240,844,865,078,140,736/414,464,233.60
  6. Step 6: Final answer
    x = 581,099,273.60

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.