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Finding the Fourth Proportional to 456,199,610.40, 682,955,722.80 and 429,624,352.80

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Solution

The fourth proportional to 456,199,610.40, 682,955,722.80 and 429,624,352.80 is: 643,171,111.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,199,610.40 : 682,955,722.80 = 429,624,352.80 : x
  2. Step 2: Convert to fraction form
    456,199,610.40/682,955,722.80 = 429,624,352.80/x
  3. Step 3: Cross multiply
    456,199,610.40x = 682,955,722.80 × 429,624,352.80
  4. Step 4: Simplify right side
    456,199,610.40x = 293,414,410,399,006,208
  5. Step 5: Solve for x
    x = 293,414,410,399,006,208/456,199,610.40
  6. Step 6: Final answer
    x = 643,171,111.31

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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.