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Finding the Fourth Proportional to 766,652,544,009.45, 1,149,978,816,014.20 and 766,652,544,009.45

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Solution

The fourth proportional to 766,652,544,009.45, 1,149,978,816,014.20 and 766,652,544,009.45 is: 1,149,978,816,014.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    766,652,544,009.45 : 1,149,978,816,014.20 = 766,652,544,009.45 : x
  2. Step 2: Convert to fraction form
    766,652,544,009.45/1,149,978,816,014.20 = 766,652,544,009.45/x
  3. Step 3: Cross multiply
    766,652,544,009.45x = 1,149,978,816,014.20 × 766,652,544,009.45
  4. Step 4: Simplify right side
    766,652,544,009.45x = 881,634,184,854,261,597,208,576
  5. Step 5: Solve for x
    x = 881,634,184,854,261,597,208,576/766,652,544,009.45
  6. Step 6: Final answer
    x = 1,149,978,816,014.20

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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.