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Finding the Fourth Proportional to 202,905,014, 280,009,619.16 and 110,085,934.64

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Solution

The fourth proportional to 202,905,014, 280,009,619.16 and 110,085,934.64 is: 151,918,969.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,905,014 : 280,009,619.16 = 110,085,934.64 : x
  2. Step 2: Convert to fraction form
    202,905,014/280,009,619.16 = 110,085,934.64/x
  3. Step 3: Cross multiply
    202,905,014x = 280,009,619.16 × 110,085,934.64
  4. Step 4: Simplify right side
    202,905,014x = 30,825,120,633,419,056
  5. Step 5: Solve for x
    x = 30,825,120,633,419,056/202,905,014
  6. Step 6: Final answer
    x = 151,918,969.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.