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Finding the Fourth Proportional to 417,168,097.20, 585,244,659.60 and 417,168,097.20

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Solution

The fourth proportional to 417,168,097.20, 585,244,659.60 and 417,168,097.20 is: 585,244,659.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,168,097.20 : 585,244,659.60 = 417,168,097.20 : x
  2. Step 2: Convert to fraction form
    417,168,097.20/585,244,659.60 = 417,168,097.20/x
  3. Step 3: Cross multiply
    417,168,097.20x = 585,244,659.60 × 417,168,097.20
  4. Step 4: Simplify right side
    417,168,097.20x = 244,145,401,041,793,728
  5. Step 5: Solve for x
    x = 244,145,401,041,793,728/417,168,097.20
  6. Step 6: Final answer
    x = 585,244,659.60

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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.