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Finding the Fourth Proportional to 208,013,999.80, 312,020,999.70 and 105,977,327.80

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Solution

The fourth proportional to 208,013,999.80, 312,020,999.70 and 105,977,327.80 is: 158,965,991.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,013,999.80 : 312,020,999.70 = 105,977,327.80 : x
  2. Step 2: Convert to fraction form
    208,013,999.80/312,020,999.70 = 105,977,327.80/x
  3. Step 3: Cross multiply
    208,013,999.80x = 312,020,999.70 × 105,977,327.80
  4. Step 4: Simplify right side
    208,013,999.80x = 33,067,151,765,690,600
  5. Step 5: Solve for x
    x = 33,067,151,765,690,600/208,013,999.80
  6. Step 6: Final answer
    x = 158,965,991.70

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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.