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Finding the Fourth Proportional to 3,309,814,548,040.20, 4,964,721,822,060.40 and 3,309,814,548,040.20

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Solution

The fourth proportional to 3,309,814,548,040.20, 4,964,721,822,060.40 and 3,309,814,548,040.20 is: 4,964,721,822,060.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,309,814,548,040.20 : 4,964,721,822,060.40 = 3,309,814,548,040.20 : x
  2. Step 2: Convert to fraction form
    3,309,814,548,040.20/4,964,721,822,060.40 = 3,309,814,548,040.20/x
  3. Step 3: Cross multiply
    3,309,814,548,040.20x = 4,964,721,822,060.40 × 3,309,814,548,040.20
  4. Step 4: Simplify right side
    3,309,814,548,040.20x = 16,432,308,513,628,163,326,083,072
  5. Step 5: Solve for x
    x = 16,432,308,513,628,163,326,083,072/3,309,814,548,040.20
  6. Step 6: Final answer
    x = 4,964,721,822,060.40

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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.