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Finding the Fourth Proportional to 862,809,843.60, 1,294,214,765.40 and 862,809,843.60

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Solution

The fourth proportional to 862,809,843.60, 1,294,214,765.40 and 862,809,843.60 is: 1,294,214,765.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    862,809,843.60 : 1,294,214,765.40 = 862,809,843.60 : x
  2. Step 2: Convert to fraction form
    862,809,843.60/1,294,214,765.40 = 862,809,843.60/x
  3. Step 3: Cross multiply
    862,809,843.60x = 1,294,214,765.40 × 862,809,843.60
  4. Step 4: Simplify right side
    862,809,843.60x = 1,116,661,239,319,584,768
  5. Step 5: Solve for x
    x = 1,116,661,239,319,584,768/862,809,843.60
  6. Step 6: Final answer
    x = 1,294,214,765.40

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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.