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Finding the Fourth Proportional to 4,247,282,303,999.50, 6,370,923,455,999.50 and 4,247,282,303,999.50

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Solution

The fourth proportional to 4,247,282,303,999.50, 6,370,923,455,999.50 and 4,247,282,303,999.50 is: 6,370,923,455,999.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,247,282,303,999.50 : 6,370,923,455,999.50 = 4,247,282,303,999.50 : x
  2. Step 2: Convert to fraction form
    4,247,282,303,999.50/6,370,923,455,999.50 = 4,247,282,303,999.50/x
  3. Step 3: Cross multiply
    4,247,282,303,999.50x = 6,370,923,455,999.50 × 4,247,282,303,999.50
  4. Step 4: Simplify right side
    4,247,282,303,999.50x = 27,059,110,454,802,014,562,942,976
  5. Step 5: Solve for x
    x = 27,059,110,454,802,014,562,942,976/4,247,282,303,999.50
  6. Step 6: Final answer
    x = 6,370,923,455,999.50

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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.