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Finding the Fourth Proportional to 599,120,816.80, 897,337,532.40 and 599,120,816.80

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Solution

The fourth proportional to 599,120,816.80, 897,337,532.40 and 599,120,816.80 is: 897,337,532.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,120,816.80 : 897,337,532.40 = 599,120,816.80 : x
  2. Step 2: Convert to fraction form
    599,120,816.80/897,337,532.40 = 599,120,816.80/x
  3. Step 3: Cross multiply
    599,120,816.80x = 897,337,532.40 × 599,120,816.80
  4. Step 4: Simplify right side
    599,120,816.80x = 537,613,595,356,784,384
  5. Step 5: Solve for x
    x = 537,613,595,356,784,384/599,120,816.80
  6. Step 6: Final answer
    x = 897,337,532.40

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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.