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Finding the Fourth Proportional to 339,264,002.40, 508,896,003.60 and 339,264,002.40

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Solution

The fourth proportional to 339,264,002.40, 508,896,003.60 and 339,264,002.40 is: 508,896,003.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,264,002.40 : 508,896,003.60 = 339,264,002.40 : x
  2. Step 2: Convert to fraction form
    339,264,002.40/508,896,003.60 = 339,264,002.40/x
  3. Step 3: Cross multiply
    339,264,002.40x = 508,896,003.60 × 339,264,002.40
  4. Step 4: Simplify right side
    339,264,002.40x = 172,650,094,986,700,800
  5. Step 5: Solve for x
    x = 172,650,094,986,700,800/339,264,002.40
  6. Step 6: Final answer
    x = 508,896,003.60

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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.