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Finding the Fourth Proportional to 605,097,212.80, 907,645,819.20 and 519,003,770.80

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Solution

The fourth proportional to 605,097,212.80, 907,645,819.20 and 519,003,770.80 is: 778,505,656.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,097,212.80 : 907,645,819.20 = 519,003,770.80 : x
  2. Step 2: Convert to fraction form
    605,097,212.80/907,645,819.20 = 519,003,770.80/x
  3. Step 3: Cross multiply
    605,097,212.80x = 907,645,819.20 × 519,003,770.80
  4. Step 4: Simplify right side
    605,097,212.80x = 471,071,602,715,655,104
  5. Step 5: Solve for x
    x = 471,071,602,715,655,104/605,097,212.80
  6. Step 6: Final answer
    x = 778,505,656.20

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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.