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Finding the Fourth Proportional to 67,202,375,460.30, 100,803,563,190.45 and 67,202,375,460.30

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Solution

The fourth proportional to 67,202,375,460.30, 100,803,563,190.45 and 67,202,375,460.30 is: 100,803,563,190.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,202,375,460.30 : 100,803,563,190.45 = 67,202,375,460.30 : x
  2. Step 2: Convert to fraction form
    67,202,375,460.30/100,803,563,190.45 = 67,202,375,460.30/x
  3. Step 3: Cross multiply
    67,202,375,460.30x = 100,803,563,190.45 × 67,202,375,460.30
  4. Step 4: Simplify right side
    67,202,375,460.30x = 6,774,238,901,260,697,731,072
  5. Step 5: Solve for x
    x = 6,774,238,901,260,697,731,072/67,202,375,460.30
  6. Step 6: Final answer
    x = 100,803,563,190.45

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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.