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Finding the Fourth Proportional to 276,507,701,409.80, 414,761,552,114.70 and 265,672,162,670.60

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Solution

The fourth proportional to 276,507,701,409.80, 414,761,552,114.70 and 265,672,162,670.60 is: 398,508,244,005.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,507,701,409.80 : 414,761,552,114.70 = 265,672,162,670.60 : x
  2. Step 2: Convert to fraction form
    276,507,701,409.80/414,761,552,114.70 = 265,672,162,670.60/x
  3. Step 3: Cross multiply
    276,507,701,409.80x = 414,761,552,114.70 × 265,672,162,670.60
  4. Step 4: Simplify right side
    276,507,701,409.80x = 110,190,598,542,927,123,709,952
  5. Step 5: Solve for x
    x = 110,190,598,542,927,123,709,952/276,507,701,409.80
  6. Step 6: Final answer
    x = 398,508,244,005.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.