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Finding the Fourth Proportional to 995,332,671.40, 1,493,745,503.10 and 510,408,869.80

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Solution

The fourth proportional to 995,332,671.40, 1,493,745,503.10 and 510,408,869.80 is: 765,996,109.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    995,332,671.40 : 1,493,745,503.10 = 510,408,869.80 : x
  2. Step 2: Convert to fraction form
    995,332,671.40/1,493,745,503.10 = 510,408,869.80/x
  3. Step 3: Cross multiply
    995,332,671.40x = 1,493,745,503.10 × 510,408,869.80
  4. Step 4: Simplify right side
    995,332,671.40x = 762,420,954,006,103,424
  5. Step 5: Solve for x
    x = 762,420,954,006,103,424/995,332,671.40
  6. Step 6: Final answer
    x = 765,996,109.56

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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.