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Finding the Fourth Proportional to 2,125,402,418,709.90, 3,188,103,628,064.90 and 2,125,402,418,709.90

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Solution

The fourth proportional to 2,125,402,418,709.90, 3,188,103,628,064.90 and 2,125,402,418,709.90 is: 3,188,103,628,064.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,125,402,418,709.90 : 3,188,103,628,064.90 = 2,125,402,418,709.90 : x
  2. Step 2: Convert to fraction form
    2,125,402,418,709.90/3,188,103,628,064.90 = 2,125,402,418,709.90/x
  3. Step 3: Cross multiply
    2,125,402,418,709.90x = 3,188,103,628,064.90 × 2,125,402,418,709.90
  4. Step 4: Simplify right side
    2,125,402,418,709.90x = 6,776,003,162,186,945,585,479,680
  5. Step 5: Solve for x
    x = 6,776,003,162,186,945,585,479,680/2,125,402,418,709.90
  6. Step 6: Final answer
    x = 3,188,103,628,064.90

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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.