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Finding the Fourth Proportional to 653,934,456,002.44, 980,901,684,003.70 and 653,934,456,002.44

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Solution

The fourth proportional to 653,934,456,002.44, 980,901,684,003.70 and 653,934,456,002.44 is: 980,901,684,003.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,934,456,002.44 : 980,901,684,003.70 = 653,934,456,002.44 : x
  2. Step 2: Convert to fraction form
    653,934,456,002.44/980,901,684,003.70 = 653,934,456,002.44/x
  3. Step 3: Cross multiply
    653,934,456,002.44x = 980,901,684,003.70 × 653,934,456,002.44
  4. Step 4: Simplify right side
    653,934,456,002.44x = 641,445,409,120,836,747,526,144
  5. Step 5: Solve for x
    x = 641,445,409,120,836,747,526,144/653,934,456,002.44
  6. Step 6: Final answer
    x = 980,901,684,003.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.