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Finding the Fourth Proportional to 412,765,881.81, 619,148,813.01 and 150,470,099.07

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Solution

The fourth proportional to 412,765,881.81, 619,148,813.01 and 150,470,099.07 is: 225,705,145.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,765,881.81 : 619,148,813.01 = 150,470,099.07 : x
  2. Step 2: Convert to fraction form
    412,765,881.81/619,148,813.01 = 150,470,099.07/x
  3. Step 3: Cross multiply
    412,765,881.81x = 619,148,813.01 × 150,470,099.07
  4. Step 4: Simplify right side
    412,765,881.81x = 93,163,383,232,687,600
  5. Step 5: Solve for x
    x = 93,163,383,232,687,600/412,765,881.81
  6. Step 6: Final answer
    x = 225,705,145.07

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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.