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Finding the Fourth Proportional to 2,086,089,984,009.90, 3,129,134,976,014.50 and 2,086,089,984,009.90

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Solution

The fourth proportional to 2,086,089,984,009.90, 3,129,134,976,014.50 and 2,086,089,984,009.90 is: 3,129,134,976,014.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,086,089,984,009.90 : 3,129,134,976,014.50 = 2,086,089,984,009.90 : x
  2. Step 2: Convert to fraction form
    2,086,089,984,009.90/3,129,134,976,014.50 = 2,086,089,984,009.90/x
  3. Step 3: Cross multiply
    2,086,089,984,009.90x = 3,129,134,976,014.50 × 2,086,089,984,009.90
  4. Step 4: Simplify right side
    2,086,089,984,009.90x = 6,527,657,132,078,906,612,908,032
  5. Step 5: Solve for x
    x = 6,527,657,132,078,906,612,908,032/2,086,089,984,009.90
  6. Step 6: Final answer
    x = 3,129,134,976,014.50

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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.