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Finding the Fourth Proportional to 3,909,785,912.80, 5,864,678,869.20 and 3,909,785,912.80

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Solution

The fourth proportional to 3,909,785,912.80, 5,864,678,869.20 and 3,909,785,912.80 is: 5,864,678,869.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,909,785,912.80 : 5,864,678,869.20 = 3,909,785,912.80 : x
  2. Step 2: Convert to fraction form
    3,909,785,912.80/5,864,678,869.20 = 3,909,785,912.80/x
  3. Step 3: Cross multiply
    3,909,785,912.80x = 5,864,678,869.20 × 3,909,785,912.80
  4. Step 4: Simplify right side
    3,909,785,912.80x = 22,929,638,825,893,994,496
  5. Step 5: Solve for x
    x = 22,929,638,825,893,994,496/3,909,785,912.80
  6. Step 6: Final answer
    x = 5,864,678,869.20

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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.