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Finding the Fourth Proportional to 120,967,809.70, 181,451,714.55 and 120,967,809.70

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Solution

The fourth proportional to 120,967,809.70, 181,451,714.55 and 120,967,809.70 is: 181,451,714.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,967,809.70 : 181,451,714.55 = 120,967,809.70 : x
  2. Step 2: Convert to fraction form
    120,967,809.70/181,451,714.55 = 120,967,809.70/x
  3. Step 3: Cross multiply
    120,967,809.70x = 181,451,714.55 × 120,967,809.70
  4. Step 4: Simplify right side
    120,967,809.70x = 21,949,816,475,423,124
  5. Step 5: Solve for x
    x = 21,949,816,475,423,124/120,967,809.70
  6. Step 6: Final answer
    x = 181,451,714.55

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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.