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Finding the Fourth Proportional to 3,296,529,072,307.70, 4,944,793,608,461.40 and 3,296,529,072,307.70

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Solution

The fourth proportional to 3,296,529,072,307.70, 4,944,793,608,461.40 and 3,296,529,072,307.70 is: 4,944,793,608,461.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,296,529,072,307.70 : 4,944,793,608,461.40 = 3,296,529,072,307.70 : x
  2. Step 2: Convert to fraction form
    3,296,529,072,307.70/4,944,793,608,461.40 = 3,296,529,072,307.70/x
  3. Step 3: Cross multiply
    3,296,529,072,307.70x = 4,944,793,608,461.40 × 3,296,529,072,307.70
  4. Step 4: Simplify right side
    3,296,529,072,307.70x = 16,300,655,886,854,305,446,100,992
  5. Step 5: Solve for x
    x = 16,300,655,886,854,305,446,100,992/3,296,529,072,307.70
  6. Step 6: Final answer
    x = 4,944,793,608,461.40

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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.