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Finding the Fourth Proportional to 3,871,542,905,998.70, 5,807,314,358,998.10 and 3,871,542,905,998.70

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Solution

The fourth proportional to 3,871,542,905,998.70, 5,807,314,358,998.10 and 3,871,542,905,998.70 is: 5,807,314,358,998.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,871,542,905,998.70 : 5,807,314,358,998.10 = 3,871,542,905,998.70 : x
  2. Step 2: Convert to fraction form
    3,871,542,905,998.70/5,807,314,358,998.10 = 3,871,542,905,998.70/x
  3. Step 3: Cross multiply
    3,871,542,905,998.70x = 5,807,314,358,998.10 × 3,871,542,905,998.70
  4. Step 4: Simplify right side
    3,871,542,905,998.70x = 22,483,266,709,483,479,543,840,768
  5. Step 5: Solve for x
    x = 22,483,266,709,483,479,543,840,768/3,871,542,905,998.70
  6. Step 6: Final answer
    x = 5,807,314,358,998.10

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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.