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Finding the Fourth Proportional to 222,414,357,748.90, 333,621,536,623.35 and 222,414,357,748.90

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Solution

The fourth proportional to 222,414,357,748.90, 333,621,536,623.35 and 222,414,357,748.90 is: 333,621,536,623.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,414,357,748.90 : 333,621,536,623.35 = 222,414,357,748.90 : x
  2. Step 2: Convert to fraction form
    222,414,357,748.90/333,621,536,623.35 = 222,414,357,748.90/x
  3. Step 3: Cross multiply
    222,414,357,748.90x = 333,621,536,623.35 × 222,414,357,748.90
  4. Step 4: Simplify right side
    222,414,357,748.90x = 74,202,219,799,283,499,008,000
  5. Step 5: Solve for x
    x = 74,202,219,799,283,499,008,000/222,414,357,748.90
  6. Step 6: Final answer
    x = 333,621,536,623.35

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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.