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Finding the Fourth Proportional to 2,071,889,761.20, 3,107,834,641.80 and 2,071,889,761.20

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Solution

The fourth proportional to 2,071,889,761.20, 3,107,834,641.80 and 2,071,889,761.20 is: 3,107,834,641.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,071,889,761.20 : 3,107,834,641.80 = 2,071,889,761.20 : x
  2. Step 2: Convert to fraction form
    2,071,889,761.20/3,107,834,641.80 = 2,071,889,761.20/x
  3. Step 3: Cross multiply
    2,071,889,761.20x = 3,107,834,641.80 × 2,071,889,761.20
  4. Step 4: Simplify right side
    2,071,889,761.20x = 6,439,090,773,848,089,600
  5. Step 5: Solve for x
    x = 6,439,090,773,848,089,600/2,071,889,761.20
  6. Step 6: Final answer
    x = 3,107,834,641.80

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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.