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Finding the Fourth Proportional to 96,536,296,999.70, 144,804,445,499.55 and 96,536,296,999.70

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Solution

The fourth proportional to 96,536,296,999.70, 144,804,445,499.55 and 96,536,296,999.70 is: 144,804,445,499.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,536,296,999.70 : 144,804,445,499.55 = 96,536,296,999.70 : x
  2. Step 2: Convert to fraction form
    96,536,296,999.70/144,804,445,499.55 = 96,536,296,999.70/x
  3. Step 3: Cross multiply
    96,536,296,999.70x = 144,804,445,499.55 × 96,536,296,999.70
  4. Step 4: Simplify right side
    96,536,296,999.70x = 13,978,884,957,621,429,731,328
  5. Step 5: Solve for x
    x = 13,978,884,957,621,429,731,328/96,536,296,999.70
  6. Step 6: Final answer
    x = 144,804,445,499.55

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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.