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Finding the Fourth Proportional to 769,824,010.20, 1,154,736,015.30 and 715,404,451.80

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Solution

The fourth proportional to 769,824,010.20, 1,154,736,015.30 and 715,404,451.80 is: 1,073,106,677.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    769,824,010.20 : 1,154,736,015.30 = 715,404,451.80 : x
  2. Step 2: Convert to fraction form
    769,824,010.20/1,154,736,015.30 = 715,404,451.80/x
  3. Step 3: Cross multiply
    769,824,010.20x = 1,154,736,015.30 × 715,404,451.80
  4. Step 4: Simplify right side
    769,824,010.20x = 826,103,285,999,412,864
  5. Step 5: Solve for x
    x = 826,103,285,999,412,864/769,824,010.20
  6. Step 6: Final answer
    x = 1,073,106,677.70

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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.