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Finding the Fourth Proportional to 276,588,009.60, 414,903,009.60 and 82,484,275.20

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Solution

The fourth proportional to 276,588,009.60, 414,903,009.60 and 82,484,275.20 is: 123,732,674.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,588,009.60 : 414,903,009.60 = 82,484,275.20 : x
  2. Step 2: Convert to fraction form
    276,588,009.60/414,903,009.60 = 82,484,275.20/x
  3. Step 3: Cross multiply
    276,588,009.60x = 414,903,009.60 × 82,484,275.20
  4. Step 4: Simplify right side
    276,588,009.60x = 34,222,974,025,154,644
  5. Step 5: Solve for x
    x = 34,222,974,025,154,644/276,588,009.60
  6. Step 6: Final answer
    x = 123,732,674.00

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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.