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Finding the Fourth Proportional to 276,588,008.60, 414,903,008.10 and 82,484,274.20

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Solution

The fourth proportional to 276,588,008.60, 414,903,008.10 and 82,484,274.20 is: 123,732,672.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,588,008.60 : 414,903,008.10 = 82,484,274.20 : x
  2. Step 2: Convert to fraction form
    276,588,008.60/414,903,008.10 = 82,484,274.20/x
  3. Step 3: Cross multiply
    276,588,008.60x = 414,903,008.10 × 82,484,274.20
  4. Step 4: Simplify right side
    276,588,008.60x = 34,222,973,486,525,224
  5. Step 5: Solve for x
    x = 34,222,973,486,525,224/276,588,008.60
  6. Step 6: Final answer
    x = 123,732,672.50

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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.