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Finding the Fourth Proportional to 316,524,110.70, 474,786,166.05 and 316,524,110.70

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Solution

The fourth proportional to 316,524,110.70, 474,786,166.05 and 316,524,110.70 is: 474,786,166.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,524,110.70 : 474,786,166.05 = 316,524,110.70 : x
  2. Step 2: Convert to fraction form
    316,524,110.70/474,786,166.05 = 316,524,110.70/x
  3. Step 3: Cross multiply
    316,524,110.70x = 474,786,166.05 × 316,524,110.70
  4. Step 4: Simplify right side
    316,524,110.70x = 150,281,268,981,638,784
  5. Step 5: Solve for x
    x = 150,281,268,981,638,784/316,524,110.70
  6. Step 6: Final answer
    x = 474,786,166.05

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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.