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Finding the Fourth Proportional to 668,156,978.40, 1,002,235,467.60 and 597,865,048.80

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Solution

The fourth proportional to 668,156,978.40, 1,002,235,467.60 and 597,865,048.80 is: 896,797,573.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    668,156,978.40 : 1,002,235,467.60 = 597,865,048.80 : x
  2. Step 2: Convert to fraction form
    668,156,978.40/1,002,235,467.60 = 597,865,048.80/x
  3. Step 3: Cross multiply
    668,156,978.40x = 1,002,235,467.60 × 597,865,048.80
  4. Step 4: Simplify right side
    668,156,978.40x = 599,201,556,745,764,736
  5. Step 5: Solve for x
    x = 599,201,556,745,764,736/668,156,978.40
  6. Step 6: Final answer
    x = 896,797,573.20

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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.