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Finding the Fourth Proportional to 313,673,998.80, 470,510,998.20 and 109,134,094.80

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Solution

The fourth proportional to 313,673,998.80, 470,510,998.20 and 109,134,094.80 is: 163,701,142.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,673,998.80 : 470,510,998.20 = 109,134,094.80 : x
  2. Step 2: Convert to fraction form
    313,673,998.80/470,510,998.20 = 109,134,094.80/x
  3. Step 3: Cross multiply
    313,673,998.80x = 470,510,998.20 × 109,134,094.80
  4. Step 4: Simplify right side
    313,673,998.80x = 51,348,791,882,001,424
  5. Step 5: Solve for x
    x = 51,348,791,882,001,424/313,673,998.80
  6. Step 6: Final answer
    x = 163,701,142.20

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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.