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Finding the Fourth Proportional to 798,960,798, 1,198,441,197 and 224,532,126

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Solution

The fourth proportional to 798,960,798, 1,198,441,197 and 224,532,126 is: 336,798,189

Step by Step Solution

  1. Step 1: Write the proportion equation
    798,960,798 : 1,198,441,197 = 224,532,126 : x
  2. Step 2: Convert to fraction form
    798,960,798/1,198,441,197 = 224,532,126/x
  3. Step 3: Cross multiply
    798,960,798x = 1,198,441,197 × 224,532,126
  4. Step 4: Simplify right side
    798,960,798x = 269,088,549,848,394,816
  5. Step 5: Solve for x
    x = 269,088,549,848,394,816/798,960,798
  6. Step 6: Final answer
    x = 336,798,189

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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.