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Finding the Fourth Proportional to 1,278,414,944.42, 1,764,023,470.54 and 776,362,636.58

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Solution

The fourth proportional to 1,278,414,944.42, 1,764,023,470.54 and 776,362,636.58 is: 1,071,265,568.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,278,414,944.42 : 1,764,023,470.54 = 776,362,636.58 : x
  2. Step 2: Convert to fraction form
    1,278,414,944.42/1,764,023,470.54 = 776,362,636.58/x
  3. Step 3: Cross multiply
    1,278,414,944.42x = 1,764,023,470.54 × 776,362,636.58
  4. Step 4: Simplify right side
    1,278,414,944.42x = 1,369,521,912,566,675,456
  5. Step 5: Solve for x
    x = 1,369,521,912,566,675,456/1,278,414,944.42
  6. Step 6: Final answer
    x = 1,071,265,568.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.