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Finding the Fourth Proportional to 388,224,702,002.90, 582,337,053,004.35 and 388,224,702,002.90

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Solution

The fourth proportional to 388,224,702,002.90, 582,337,053,004.35 and 388,224,702,002.90 is: 582,337,053,004.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,224,702,002.90 : 582,337,053,004.35 = 388,224,702,002.90 : x
  2. Step 2: Convert to fraction form
    388,224,702,002.90/582,337,053,004.35 = 388,224,702,002.90/x
  3. Step 3: Cross multiply
    388,224,702,002.90x = 582,337,053,004.35 × 388,224,702,002.90
  4. Step 4: Simplify right side
    388,224,702,002.90x = 226,077,628,867,860,766,916,608
  5. Step 5: Solve for x
    x = 226,077,628,867,860,766,916,608/388,224,702,002.90
  6. Step 6: Final answer
    x = 582,337,053,004.35

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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.