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Finding the Fourth Proportional to 270,487,984.60, 405,731,976.90 and 270,487,984.60

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Solution

The fourth proportional to 270,487,984.60, 405,731,976.90 and 270,487,984.60 is: 405,731,976.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,487,984.60 : 405,731,976.90 = 270,487,984.60 : x
  2. Step 2: Convert to fraction form
    270,487,984.60/405,731,976.90 = 270,487,984.60/x
  3. Step 3: Cross multiply
    270,487,984.60x = 405,731,976.90 × 270,487,984.60
  4. Step 4: Simplify right side
    270,487,984.60x = 109,745,624,719,454,752
  5. Step 5: Solve for x
    x = 109,745,624,719,454,752/270,487,984.60
  6. Step 6: Final answer
    x = 405,731,976.90

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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.