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Finding the Fourth Proportional to 1,696,014,978.75, 2,544,023,397.60 and 775,245,616.56

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Solution

The fourth proportional to 1,696,014,978.75, 2,544,023,397.60 and 775,245,616.56 is: 1,162,868,849.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,696,014,978.75 : 2,544,023,397.60 = 775,245,616.56 : x
  2. Step 2: Convert to fraction form
    1,696,014,978.75/2,544,023,397.60 = 775,245,616.56/x
  3. Step 3: Cross multiply
    1,696,014,978.75x = 2,544,023,397.60 × 775,245,616.56
  4. Step 4: Simplify right side
    1,696,014,978.75x = 1,972,242,987,415,477,760
  5. Step 5: Solve for x
    x = 1,972,242,987,415,477,760/1,696,014,978.75
  6. Step 6: Final answer
    x = 1,162,868,849.70

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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.