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Finding the Fourth Proportional to 1,809,615,265.14, 2,714,449,974.30 and 689,200,800.60

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Solution

The fourth proportional to 1,809,615,265.14, 2,714,449,974.30 and 689,200,800.60 is: 1,033,811,513.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,809,615,265.14 : 2,714,449,974.30 = 689,200,800.60 : x
  2. Step 2: Convert to fraction form
    1,809,615,265.14/2,714,449,974.30 = 689,200,800.60/x
  3. Step 3: Cross multiply
    1,809,615,265.14x = 2,714,449,974.30 × 689,200,800.60
  4. Step 4: Simplify right side
    1,809,615,265.14x = 1,870,801,095,476,209,664
  5. Step 5: Solve for x
    x = 1,870,801,095,476,209,664/1,809,615,265.14
  6. Step 6: Final answer
    x = 1,033,811,513.15

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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.