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Finding the Fourth Proportional to 565,492,026.60, 848,238,039.90 and 391,152,806.55

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Solution

The fourth proportional to 565,492,026.60, 848,238,039.90 and 391,152,806.55 is: 586,729,209.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,492,026.60 : 848,238,039.90 = 391,152,806.55 : x
  2. Step 2: Convert to fraction form
    565,492,026.60/848,238,039.90 = 391,152,806.55/x
  3. Step 3: Cross multiply
    565,492,026.60x = 848,238,039.90 × 391,152,806.55
  4. Step 4: Simplify right side
    565,492,026.60x = 331,790,689,929,355,904
  5. Step 5: Solve for x
    x = 331,790,689,929,355,904/565,492,026.60
  6. Step 6: Final answer
    x = 586,729,209.83

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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.