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Finding the Fourth Proportional to 76,910,561,609.60, 115,365,842,414.40 and 76,910,561,609.60

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Solution

The fourth proportional to 76,910,561,609.60, 115,365,842,414.40 and 76,910,561,609.60 is: 115,365,842,414.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,910,561,609.60 : 115,365,842,414.40 = 76,910,561,609.60 : x
  2. Step 2: Convert to fraction form
    76,910,561,609.60/115,365,842,414.40 = 76,910,561,609.60/x
  3. Step 3: Cross multiply
    76,910,561,609.60x = 115,365,842,414.40 × 76,910,561,609.60
  4. Step 4: Simplify right side
    76,910,561,609.60x = 8,872,851,730,656,116,342,784
  5. Step 5: Solve for x
    x = 8,872,851,730,656,116,342,784/76,910,561,609.60
  6. Step 6: Final answer
    x = 115,365,842,414.40

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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.