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Finding the Fourth Proportional to 472,396,067.70, 708,594,101.55 and 288,730,058.10

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Solution

The fourth proportional to 472,396,067.70, 708,594,101.55 and 288,730,058.10 is: 433,095,087.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,396,067.70 : 708,594,101.55 = 288,730,058.10 : x
  2. Step 2: Convert to fraction form
    472,396,067.70/708,594,101.55 = 288,730,058.10/x
  3. Step 3: Cross multiply
    472,396,067.70x = 708,594,101.55 × 288,730,058.10
  4. Step 4: Simplify right side
    472,396,067.70x = 204,592,416,109,848,800
  5. Step 5: Solve for x
    x = 204,592,416,109,848,800/472,396,067.70
  6. Step 6: Final answer
    x = 433,095,087.15

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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.