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Finding the Fourth Proportional to 618,253,817.20, 927,492,700.20 and 310,772,114.80

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Solution

The fourth proportional to 618,253,817.20, 927,492,700.20 and 310,772,114.80 is: 466,214,457.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    618,253,817.20 : 927,492,700.20 = 310,772,114.80 : x
  2. Step 2: Convert to fraction form
    618,253,817.20/927,492,700.20 = 310,772,114.80/x
  3. Step 3: Cross multiply
    618,253,817.20x = 927,492,700.20 × 310,772,114.80
  4. Step 4: Simplify right side
    618,253,817.20x = 288,238,867,902,716,416
  5. Step 5: Solve for x
    x = 288,238,867,902,716,416/618,253,817.20
  6. Step 6: Final answer
    x = 466,214,457.37

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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.