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Finding the Fourth Proportional to 1,782,233,239,600.40, 2,673,349,859,400.50 and 1,782,233,239,600.40

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Solution

The fourth proportional to 1,782,233,239,600.40, 2,673,349,859,400.50 and 1,782,233,239,600.40 is: 2,673,349,859,400.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,782,233,239,600.40 : 2,673,349,859,400.50 = 1,782,233,239,600.40 : x
  2. Step 2: Convert to fraction form
    1,782,233,239,600.40/2,673,349,859,400.50 = 1,782,233,239,600.40/x
  3. Step 3: Cross multiply
    1,782,233,239,600.40x = 2,673,349,859,400.50 × 1,782,233,239,600.40
  4. Step 4: Simplify right side
    1,782,233,239,600.40x = 4,764,532,980,504,626,760,515,584
  5. Step 5: Solve for x
    x = 4,764,532,980,504,626,760,515,584/1,782,233,239,600.40
  6. Step 6: Final answer
    x = 2,673,349,859,400.50

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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.