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Finding the Fourth Proportional to 96,864,086,422.40, 145,296,129,633.60 and 96,864,086,422.40

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Solution

The fourth proportional to 96,864,086,422.40, 145,296,129,633.60 and 96,864,086,422.40 is: 145,296,129,633.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,864,086,422.40 : 145,296,129,633.60 = 96,864,086,422.40 : x
  2. Step 2: Convert to fraction form
    96,864,086,422.40/145,296,129,633.60 = 96,864,086,422.40/x
  3. Step 3: Cross multiply
    96,864,086,422.40x = 145,296,129,633.60 × 96,864,086,422.40
  4. Step 4: Simplify right side
    96,864,086,422.40x = 14,073,976,857,669,264,211,968
  5. Step 5: Solve for x
    x = 14,073,976,857,669,264,211,968/96,864,086,422.40
  6. Step 6: Final answer
    x = 145,296,129,633.60

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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.