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Finding the Fourth Proportional to 137,722,972,565.60, 206,584,458,848.40 and 137,722,972,565.60

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Solution

The fourth proportional to 137,722,972,565.60, 206,584,458,848.40 and 137,722,972,565.60 is: 206,584,458,848.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,722,972,565.60 : 206,584,458,848.40 = 137,722,972,565.60 : x
  2. Step 2: Convert to fraction form
    137,722,972,565.60/206,584,458,848.40 = 137,722,972,565.60/x
  3. Step 3: Cross multiply
    137,722,972,565.60x = 206,584,458,848.40 × 137,722,972,565.60
  4. Step 4: Simplify right side
    137,722,972,565.60x = 28,451,425,758,457,515,474,944
  5. Step 5: Solve for x
    x = 28,451,425,758,457,515,474,944/137,722,972,565.60
  6. Step 6: Final answer
    x = 206,584,458,848.40

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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.