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Finding the Fourth Proportional to 432,884,553.64, 649,317,733.22 and 105,361,894.01

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Solution

The fourth proportional to 432,884,553.64, 649,317,733.22 and 105,361,894.01 is: 158,040,626.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,884,553.64 : 649,317,733.22 = 105,361,894.01 : x
  2. Step 2: Convert to fraction form
    432,884,553.64/649,317,733.22 = 105,361,894.01/x
  3. Step 3: Cross multiply
    432,884,553.64x = 649,317,733.22 × 105,361,894.01
  4. Step 4: Simplify right side
    432,884,553.64x = 68,413,346,188,225,792
  5. Step 5: Solve for x
    x = 68,413,346,188,225,792/432,884,553.64
  6. Step 6: Final answer
    x = 158,040,626.80

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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.