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Finding the Fourth Proportional to 510,870,491.70, 766,305,737.55 and 224,216,027.70

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Solution

The fourth proportional to 510,870,491.70, 766,305,737.55 and 224,216,027.70 is: 336,324,041.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,870,491.70 : 766,305,737.55 = 224,216,027.70 : x
  2. Step 2: Convert to fraction form
    510,870,491.70/766,305,737.55 = 224,216,027.70/x
  3. Step 3: Cross multiply
    510,870,491.70x = 766,305,737.55 × 224,216,027.70
  4. Step 4: Simplify right side
    510,870,491.70x = 171,818,028,477,179,712
  5. Step 5: Solve for x
    x = 171,818,028,477,179,712/510,870,491.70
  6. Step 6: Final answer
    x = 336,324,041.55

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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.