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Finding the Fourth Proportional to 2,125,402,418,999.90, 3,188,103,628,500 and 2,125,402,418,999.90

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Solution

The fourth proportional to 2,125,402,418,999.90, 3,188,103,628,500 and 2,125,402,418,999.90 is: 3,188,103,628,500

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,125,402,418,999.90 : 3,188,103,628,500 = 2,125,402,418,999.90 : x
  2. Step 2: Convert to fraction form
    2,125,402,418,999.90/3,188,103,628,500 = 2,125,402,418,999.90/x
  3. Step 3: Cross multiply
    2,125,402,418,999.90x = 3,188,103,628,500 × 2,125,402,418,999.90
  4. Step 4: Simplify right side
    2,125,402,418,999.90x = 6,776,003,164,036,258,645,147,648
  5. Step 5: Solve for x
    x = 6,776,003,164,036,258,645,147,648/2,125,402,418,999.90
  6. Step 6: Final answer
    x = 3,188,103,628,500

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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.