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Finding the Fourth Proportional to 133,571,239,984.65, 200,356,859,976.98 and 133,571,239,984.65

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Solution

The fourth proportional to 133,571,239,984.65, 200,356,859,976.98 and 133,571,239,984.65 is: 200,356,859,976.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,571,239,984.65 : 200,356,859,976.98 = 133,571,239,984.65 : x
  2. Step 2: Convert to fraction form
    133,571,239,984.65/200,356,859,976.98 = 133,571,239,984.65/x
  3. Step 3: Cross multiply
    133,571,239,984.65x = 200,356,859,976.98 × 133,571,239,984.65
  4. Step 4: Simplify right side
    133,571,239,984.65x = 26,761,914,226,556,111,159,296
  5. Step 5: Solve for x
    x = 26,761,914,226,556,111,159,296/133,571,239,984.65
  6. Step 6: Final answer
    x = 200,356,859,976.98

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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.