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Finding the Fourth Proportional to 848,268,410,859.90, 1,272,402,616,289.90 and 848,268,410,859.90

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Solution

The fourth proportional to 848,268,410,859.90, 1,272,402,616,289.90 and 848,268,410,859.90 is: 1,272,402,616,289.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    848,268,410,859.90 : 1,272,402,616,289.90 = 848,268,410,859.90 : x
  2. Step 2: Convert to fraction form
    848,268,410,859.90/1,272,402,616,289.90 = 848,268,410,859.90/x
  3. Step 3: Cross multiply
    848,268,410,859.90x = 1,272,402,616,289.90 × 848,268,410,859.90
  4. Step 4: Simplify right side
    848,268,410,859.90x = 1,079,338,945,294,212,521,787,392
  5. Step 5: Solve for x
    x = 1,079,338,945,294,212,521,787,392/848,268,410,859.90
  6. Step 6: Final answer
    x = 1,272,402,616,289.90

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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.