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Finding the Fourth Proportional to 1,585,348,893,999.90, 2,378,023,340,999.90 and 1,585,348,893,999.90

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Solution

The fourth proportional to 1,585,348,893,999.90, 2,378,023,340,999.90 and 1,585,348,893,999.90 is: 2,378,023,340,999.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,585,348,893,999.90 : 2,378,023,340,999.90 = 1,585,348,893,999.90 : x
  2. Step 2: Convert to fraction form
    1,585,348,893,999.90/2,378,023,340,999.90 = 1,585,348,893,999.90/x
  3. Step 3: Cross multiply
    1,585,348,893,999.90x = 2,378,023,340,999.90 × 1,585,348,893,999.90
  4. Step 4: Simplify right side
    1,585,348,893,999.90x = 3,769,996,673,560,138,083,205,120
  5. Step 5: Solve for x
    x = 3,769,996,673,560,138,083,205,120/1,585,348,893,999.90
  6. Step 6: Final answer
    x = 2,378,023,340,999.90

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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.