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Finding the Fourth Proportional to 417,168,097.70, 585,244,660.30 and 417,168,097.70

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Solution

The fourth proportional to 417,168,097.70, 585,244,660.30 and 417,168,097.70 is: 585,244,660.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,168,097.70 : 585,244,660.30 = 417,168,097.70 : x
  2. Step 2: Convert to fraction form
    417,168,097.70/585,244,660.30 = 417,168,097.70/x
  3. Step 3: Cross multiply
    417,168,097.70x = 585,244,660.30 × 417,168,097.70
  4. Step 4: Simplify right side
    417,168,097.70x = 244,145,401,626,433,696
  5. Step 5: Solve for x
    x = 244,145,401,626,433,696/417,168,097.70
  6. Step 6: Final answer
    x = 585,244,660.30

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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.