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Finding the Fourth Proportional to 12,383,843,999.10, 17,386,359,201.30 and 12,383,843,999.10

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Solution

The fourth proportional to 12,383,843,999.10, 17,386,359,201.30 and 12,383,843,999.10 is: 17,386,359,201.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,383,843,999.10 : 17,386,359,201.30 = 12,383,843,999.10 : x
  2. Step 2: Convert to fraction form
    12,383,843,999.10/17,386,359,201.30 = 12,383,843,999.10/x
  3. Step 3: Cross multiply
    12,383,843,999.10x = 17,386,359,201.30 × 12,383,843,999.10
  4. Step 4: Simplify right side
    12,383,843,999.10x = 215,309,960,061,216,063,488
  5. Step 5: Solve for x
    x = 215,309,960,061,216,063,488/12,383,843,999.10
  6. Step 6: Final answer
    x = 17,386,359,201.30

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.