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Finding the Fourth Proportional to 417,166,479.20, 585,242,394.40 and 417,166,479.20

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Solution

The fourth proportional to 417,166,479.20, 585,242,394.40 and 417,166,479.20 is: 585,242,394.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,166,479.20 : 585,242,394.40 = 417,166,479.20 : x
  2. Step 2: Convert to fraction form
    417,166,479.20/585,242,394.40 = 417,166,479.20/x
  3. Step 3: Cross multiply
    417,166,479.20x = 585,242,394.40 × 417,166,479.20
  4. Step 4: Simplify right side
    417,166,479.20x = 244,143,509,150,425,792
  5. Step 5: Solve for x
    x = 244,143,509,150,425,792/417,166,479.20
  6. Step 6: Final answer
    x = 585,242,394.40

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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.