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Finding the Fourth Proportional to 97,033,978.17, 133,908,754.34 and 52,982,722.96

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Solution

The fourth proportional to 97,033,978.17, 133,908,754.34 and 52,982,722.96 is: 73,117,175.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,033,978.17 : 133,908,754.34 = 52,982,722.96 : x
  2. Step 2: Convert to fraction form
    97,033,978.17/133,908,754.34 = 52,982,722.96/x
  3. Step 3: Cross multiply
    97,033,978.17x = 133,908,754.34 × 52,982,722.96
  4. Step 4: Simplify right side
    97,033,978.17x = 7,094,850,432,912,603
  5. Step 5: Solve for x
    x = 7,094,850,432,912,603/97,033,978.17
  6. Step 6: Final answer
    x = 73,117,175.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.