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Finding the Fourth Proportional to 7,769,270,809.80, 11,653,906,214.70 and 7,769,270,809.80

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Solution

The fourth proportional to 7,769,270,809.80, 11,653,906,214.70 and 7,769,270,809.80 is: 11,653,906,214.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,769,270,809.80 : 11,653,906,214.70 = 7,769,270,809.80 : x
  2. Step 2: Convert to fraction form
    7,769,270,809.80/11,653,906,214.70 = 7,769,270,809.80/x
  3. Step 3: Cross multiply
    7,769,270,809.80x = 11,653,906,214.70 × 7,769,270,809.80
  4. Step 4: Simplify right side
    7,769,270,809.80x = 90,542,353,374,015,537,152
  5. Step 5: Solve for x
    x = 90,542,353,374,015,537,152/7,769,270,809.80
  6. Step 6: Final answer
    x = 11,653,906,214.70

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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.