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Finding the Fourth Proportional to 766,652,544,000.70, 1,149,978,816,001 and 766,652,544,000.70

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Solution

The fourth proportional to 766,652,544,000.70, 1,149,978,816,001 and 766,652,544,000.70 is: 1,149,978,816,001

Step by Step Solution

  1. Step 1: Write the proportion equation
    766,652,544,000.70 : 1,149,978,816,001 = 766,652,544,000.70 : x
  2. Step 2: Convert to fraction form
    766,652,544,000.70/1,149,978,816,001 = 766,652,544,000.70/x
  3. Step 3: Cross multiply
    766,652,544,000.70x = 1,149,978,816,001 × 766,652,544,000.70
  4. Step 4: Simplify right side
    766,652,544,000.70x = 881,634,184,834,079,545,884,672
  5. Step 5: Solve for x
    x = 881,634,184,834,079,545,884,672/766,652,544,000.70
  6. Step 6: Final answer
    x = 1,149,978,816,001

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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.