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Finding the Fourth Proportional to 2,770,007,808, 4,155,019,978.72 and 671,475,894.60

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Solution

The fourth proportional to 2,770,007,808, 4,155,019,978.72 and 671,475,894.60 is: 1,007,215,845.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,770,007,808 : 4,155,019,978.72 = 671,475,894.60 : x
  2. Step 2: Convert to fraction form
    2,770,007,808/4,155,019,978.72 = 671,475,894.60/x
  3. Step 3: Cross multiply
    2,770,007,808x = 4,155,019,978.72 × 671,475,894.60
  4. Step 4: Simplify right side
    2,770,007,808x = 2,789,995,757,291,885,056
  5. Step 5: Solve for x
    x = 2,789,995,757,291,885,056/2,770,007,808
  6. Step 6: Final answer
    x = 1,007,215,845.83

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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.