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Finding the Fourth Proportional to 275,298,323.70, 412,947,485.55 and 158,912,744.70

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Solution

The fourth proportional to 275,298,323.70, 412,947,485.55 and 158,912,744.70 is: 238,369,117.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,298,323.70 : 412,947,485.55 = 158,912,744.70 : x
  2. Step 2: Convert to fraction form
    275,298,323.70/412,947,485.55 = 158,912,744.70/x
  3. Step 3: Cross multiply
    275,298,323.70x = 412,947,485.55 × 158,912,744.70
  4. Step 4: Simplify right side
    275,298,323.70x = 65,622,618,345,714,088
  5. Step 5: Solve for x
    x = 65,622,618,345,714,088/275,298,323.70
  6. Step 6: Final answer
    x = 238,369,117.05

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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.