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Finding the Fourth Proportional to 193,758,362,238.30, 290,637,543,357.45 and 193,758,362,238.30

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Solution

The fourth proportional to 193,758,362,238.30, 290,637,543,357.45 and 193,758,362,238.30 is: 290,637,543,357.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,758,362,238.30 : 290,637,543,357.45 = 193,758,362,238.30 : x
  2. Step 2: Convert to fraction form
    193,758,362,238.30/290,637,543,357.45 = 193,758,362,238.30/x
  3. Step 3: Cross multiply
    193,758,362,238.30x = 290,637,543,357.45 × 193,758,362,238.30
  4. Step 4: Simplify right side
    193,758,362,238.30x = 56,313,454,405,902,414,118,912
  5. Step 5: Solve for x
    x = 56,313,454,405,902,414,118,912/193,758,362,238.30
  6. Step 6: Final answer
    x = 290,637,543,357.45

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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.