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Finding the Fourth Proportional to 5,530,155,666,768.90, 8,295,233,500,152.90 and 5,530,155,666,768.90

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Solution

The fourth proportional to 5,530,155,666,768.90, 8,295,233,500,152.90 and 5,530,155,666,768.90 is: 8,295,233,500,152.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,530,155,666,768.90 : 8,295,233,500,152.90 = 5,530,155,666,768.90 : x
  2. Step 2: Convert to fraction form
    5,530,155,666,768.90/8,295,233,500,152.90 = 5,530,155,666,768.90/x
  3. Step 3: Cross multiply
    5,530,155,666,768.90x = 8,295,233,500,152.90 × 5,530,155,666,768.90
  4. Step 4: Simplify right side
    5,530,155,666,768.90x = 45,873,932,548,041,783,092,707,328
  5. Step 5: Solve for x
    x = 45,873,932,548,041,783,092,707,328/5,530,155,666,768.90
  6. Step 6: Final answer
    x = 8,295,233,500,152.90

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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.