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Finding the Fourth Proportional to 257,937,695,999.55, 386,906,543,999.32 and 257,937,695,999.55

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Solution

The fourth proportional to 257,937,695,999.55, 386,906,543,999.32 and 257,937,695,999.55 is: 386,906,543,999.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,937,695,999.55 : 386,906,543,999.32 = 257,937,695,999.55 : x
  2. Step 2: Convert to fraction form
    257,937,695,999.55/386,906,543,999.32 = 257,937,695,999.55/x
  3. Step 3: Cross multiply
    257,937,695,999.55x = 386,906,543,999.32 × 257,937,695,999.55
  4. Step 4: Simplify right side
    257,937,695,999.55x = 99,797,782,526,333,116,481,536
  5. Step 5: Solve for x
    x = 99,797,782,526,333,116,481,536/257,937,695,999.55
  6. Step 6: Final answer
    x = 386,906,543,999.32

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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.