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Finding the Fourth Proportional to 766,596,029,003.80, 1,149,894,043,505.70 and 766,596,029,003.80

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Solution

The fourth proportional to 766,596,029,003.80, 1,149,894,043,505.70 and 766,596,029,003.80 is: 1,149,894,043,505.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    766,596,029,003.80 : 1,149,894,043,505.70 = 766,596,029,003.80 : x
  2. Step 2: Convert to fraction form
    766,596,029,003.80/1,149,894,043,505.70 = 766,596,029,003.80/x
  3. Step 3: Cross multiply
    766,596,029,003.80x = 1,149,894,043,505.70 × 766,596,029,003.80
  4. Step 4: Simplify right side
    766,596,029,003.80x = 881,504,207,526,592,417,628,160
  5. Step 5: Solve for x
    x = 881,504,207,526,592,417,628,160/766,596,029,003.80
  6. Step 6: Final answer
    x = 1,149,894,043,505.70

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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.