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Finding the Fourth Proportional to 766,652,544,000.20, 1,149,978,816,000.30 and 766,652,544,000.20

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Solution

The fourth proportional to 766,652,544,000.20, 1,149,978,816,000.30 and 766,652,544,000.20 is: 1,149,978,816,000.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    766,652,544,000.20 : 1,149,978,816,000.30 = 766,652,544,000.20 : x
  2. Step 2: Convert to fraction form
    766,652,544,000.20/1,149,978,816,000.30 = 766,652,544,000.20/x
  3. Step 3: Cross multiply
    766,652,544,000.20x = 1,149,978,816,000.30 × 766,652,544,000.20
  4. Step 4: Simplify right side
    766,652,544,000.20x = 881,634,184,832,967,820,443,648
  5. Step 5: Solve for x
    x = 881,634,184,832,967,820,443,648/766,652,544,000.20
  6. Step 6: Final answer
    x = 1,149,978,816,000.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.