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Finding the Fourth Proportional to 599,119,458.80, 839,899,704.40 and 599,119,458.80

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Solution

The fourth proportional to 599,119,458.80, 839,899,704.40 and 599,119,458.80 is: 839,899,704.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,119,458.80 : 839,899,704.40 = 599,119,458.80 : x
  2. Step 2: Convert to fraction form
    599,119,458.80/839,899,704.40 = 599,119,458.80/x
  3. Step 3: Cross multiply
    599,119,458.80x = 839,899,704.40 × 599,119,458.80
  4. Step 4: Simplify right side
    599,119,458.80x = 503,200,256,346,407,936
  5. Step 5: Solve for x
    x = 503,200,256,346,407,936/599,119,458.80
  6. Step 6: Final answer
    x = 839,899,704.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.