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Finding the Fourth Proportional to 208,089,810.80, 312,040,237.80 and 78,654,402.80

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Solution

The fourth proportional to 208,089,810.80, 312,040,237.80 and 78,654,402.80 is: 117,945,892.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,089,810.80 : 312,040,237.80 = 78,654,402.80 : x
  2. Step 2: Convert to fraction form
    208,089,810.80/312,040,237.80 = 78,654,402.80/x
  3. Step 3: Cross multiply
    208,089,810.80x = 312,040,237.80 × 78,654,402.80
  4. Step 4: Simplify right side
    208,089,810.80x = 24,543,338,553,728,984
  5. Step 5: Solve for x
    x = 24,543,338,553,728,984/208,089,810.80
  6. Step 6: Final answer
    x = 117,945,892.97

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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.