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Finding the Fourth Proportional to 233,197,795,850.03, 349,796,693,775.03 and 233,197,795,850.03

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Solution

The fourth proportional to 233,197,795,850.03, 349,796,693,775.03 and 233,197,795,850.03 is: 349,796,693,775.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,197,795,850.03 : 349,796,693,775.03 = 233,197,795,850.03 : x
  2. Step 2: Convert to fraction form
    233,197,795,850.03/349,796,693,775.03 = 233,197,795,850.03/x
  3. Step 3: Cross multiply
    233,197,795,850.03x = 349,796,693,775.03 × 233,197,795,850.03
  4. Step 4: Simplify right side
    233,197,795,850.03x = 81,571,817,983,964,908,355,584
  5. Step 5: Solve for x
    x = 81,571,817,983,964,908,355,584/233,197,795,850.03
  6. Step 6: Final answer
    x = 349,796,693,775.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.