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Finding the Fourth Proportional to 137,244,863,098.15, 205,867,294,647.23 and 137,244,863,098.15

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Solution

The fourth proportional to 137,244,863,098.15, 205,867,294,647.23 and 137,244,863,098.15 is: 205,867,294,647.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,244,863,098.15 : 205,867,294,647.23 = 137,244,863,098.15 : x
  2. Step 2: Convert to fraction form
    137,244,863,098.15/205,867,294,647.23 = 137,244,863,098.15/x
  3. Step 3: Cross multiply
    137,244,863,098.15x = 205,867,294,647.23 × 137,244,863,098.15
  4. Step 4: Simplify right side
    137,244,863,098.15x = 28,254,228,670,245,588,959,232
  5. Step 5: Solve for x
    x = 28,254,228,670,245,588,959,232/137,244,863,098.15
  6. Step 6: Final answer
    x = 205,867,294,647.23

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Why These Related Problems?

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