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Finding the Fourth Proportional to 776,435,300,999.80, 1,164,652,951,499.80 and 776,435,300,999.80

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Solution

The fourth proportional to 776,435,300,999.80, 1,164,652,951,499.80 and 776,435,300,999.80 is: 1,164,652,951,499.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    776,435,300,999.80 : 1,164,652,951,499.80 = 776,435,300,999.80 : x
  2. Step 2: Convert to fraction form
    776,435,300,999.80/1,164,652,951,499.80 = 776,435,300,999.80/x
  3. Step 3: Cross multiply
    776,435,300,999.80x = 1,164,652,951,499.80 × 776,435,300,999.80
  4. Step 4: Simplify right side
    776,435,300,999.80x = 904,277,664,958,052,734,861,312
  5. Step 5: Solve for x
    x = 904,277,664,958,052,734,861,312/776,435,300,999.80
  6. Step 6: Final answer
    x = 1,164,652,951,499.80

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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.