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Finding the Fourth Proportional to 224,891,832.80, 337,345,216.68 and 77,337,945.20

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Solution

The fourth proportional to 224,891,832.80, 337,345,216.68 and 77,337,945.20 is: 116,009,485.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,891,832.80 : 337,345,216.68 = 77,337,945.20 : x
  2. Step 2: Convert to fraction form
    224,891,832.80/337,345,216.68 = 77,337,945.20/x
  3. Step 3: Cross multiply
    224,891,832.80x = 337,345,216.68 × 77,337,945.20
  4. Step 4: Simplify right side
    224,891,832.80x = 26,089,585,881,079,968
  5. Step 5: Solve for x
    x = 26,089,585,881,079,968/224,891,832.80
  6. Step 6: Final answer
    x = 116,009,485.79

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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.