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Finding the Fourth Proportional to 233,197,795,856.03, 349,796,693,784.03 and 233,197,795,856.03

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Solution

The fourth proportional to 233,197,795,856.03, 349,796,693,784.03 and 233,197,795,856.03 is: 349,796,693,784.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,197,795,856.03 : 349,796,693,784.03 = 233,197,795,856.03 : x
  2. Step 2: Convert to fraction form
    233,197,795,856.03/349,796,693,784.03 = 233,197,795,856.03/x
  3. Step 3: Cross multiply
    233,197,795,856.03x = 349,796,693,784.03 × 233,197,795,856.03
  4. Step 4: Simplify right side
    233,197,795,856.03x = 81,571,817,988,162,467,135,488
  5. Step 5: Solve for x
    x = 81,571,817,988,162,467,135,488/233,197,795,856.03
  6. Step 6: Final answer
    x = 349,796,693,784.03

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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.