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Finding the Fourth Proportional to 511,362,362.99, 705,679,756.56 and 276,413,026.70

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Solution

The fourth proportional to 511,362,362.99, 705,679,756.56 and 276,413,026.70 is: 381,449,812.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,362,362.99 : 705,679,756.56 = 276,413,026.70 : x
  2. Step 2: Convert to fraction form
    511,362,362.99/705,679,756.56 = 276,413,026.70/x
  3. Step 3: Cross multiply
    511,362,362.99x = 705,679,756.56 × 276,413,026.70
  4. Step 4: Simplify right side
    511,362,362.99x = 195,059,077,393,432,960
  5. Step 5: Solve for x
    x = 195,059,077,393,432,960/511,362,362.99
  6. Step 6: Final answer
    x = 381,449,812.32

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Why These Related Problems?

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