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Finding the Fourth Proportional to 4,843,605,816,076.10, 7,265,408,724,114.10 and 4,843,605,816,076.10

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Solution

The fourth proportional to 4,843,605,816,076.10, 7,265,408,724,114.10 and 4,843,605,816,076.10 is: 7,265,408,724,114.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,843,605,816,076.10 : 7,265,408,724,114.10 = 4,843,605,816,076.10 : x
  2. Step 2: Convert to fraction form
    4,843,605,816,076.10/7,265,408,724,114.10 = 4,843,605,816,076.10/x
  3. Step 3: Cross multiply
    4,843,605,816,076.10x = 7,265,408,724,114.10 × 4,843,605,816,076.10
  4. Step 4: Simplify right side
    4,843,605,816,076.10x = 35,190,775,952,289,086,738,268,160
  5. Step 5: Solve for x
    x = 35,190,775,952,289,086,738,268,160/4,843,605,816,076.10
  6. Step 6: Final answer
    x = 7,265,408,724,114.10

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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.