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Finding the Fourth Proportional to 3,219,308,664.90, 4,828,962,997.35 and 3,219,308,664.90

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Solution

The fourth proportional to 3,219,308,664.90, 4,828,962,997.35 and 3,219,308,664.90 is: 4,828,962,997.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,219,308,664.90 : 4,828,962,997.35 = 3,219,308,664.90 : x
  2. Step 2: Convert to fraction form
    3,219,308,664.90/4,828,962,997.35 = 3,219,308,664.90/x
  3. Step 3: Cross multiply
    3,219,308,664.90x = 4,828,962,997.35 × 3,219,308,664.90
  4. Step 4: Simplify right side
    3,219,308,664.90x = 15,545,922,419,850,332,160
  5. Step 5: Solve for x
    x = 15,545,922,419,850,332,160/3,219,308,664.90
  6. Step 6: Final answer
    x = 4,828,962,997.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.