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Finding the Fourth Proportional to 833,906,007.92, 1,150,312,173 and 520,095,408.08

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Solution

The fourth proportional to 833,906,007.92, 1,150,312,173 and 520,095,408.08 is: 717,433,467.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    833,906,007.92 : 1,150,312,173 = 520,095,408.08 : x
  2. Step 2: Convert to fraction form
    833,906,007.92/1,150,312,173 = 520,095,408.08/x
  3. Step 3: Cross multiply
    833,906,007.92x = 1,150,312,173 × 520,095,408.08
  4. Step 4: Simplify right side
    833,906,007.92x = 598,272,079,035,826,560
  5. Step 5: Solve for x
    x = 598,272,079,035,826,560/833,906,007.92
  6. Step 6: Final answer
    x = 717,433,467.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.