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Finding the Fourth Proportional to 510,620,552.80, 765,930,829.20 and 510,620,552.80

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Solution

The fourth proportional to 510,620,552.80, 765,930,829.20 and 510,620,552.80 is: 765,930,829.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,620,552.80 : 765,930,829.20 = 510,620,552.80 : x
  2. Step 2: Convert to fraction form
    510,620,552.80/765,930,829.20 = 510,620,552.80/x
  3. Step 3: Cross multiply
    510,620,552.80x = 765,930,829.20 × 510,620,552.80
  4. Step 4: Simplify right side
    510,620,552.80x = 391,100,023,412,666,432
  5. Step 5: Solve for x
    x = 391,100,023,412,666,432/510,620,552.80
  6. Step 6: Final answer
    x = 765,930,829.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.