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Finding the Fourth Proportional to 85,487,625,905.20, 119,438,064,458 and 85,487,625,905.20

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Solution

The fourth proportional to 85,487,625,905.20, 119,438,064,458 and 85,487,625,905.20 is: 119,438,064,458

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,487,625,905.20 : 119,438,064,458 = 85,487,625,905.20 : x
  2. Step 2: Convert to fraction form
    85,487,625,905.20/119,438,064,458 = 85,487,625,905.20/x
  3. Step 3: Cross multiply
    85,487,625,905.20x = 119,438,064,458 × 85,487,625,905.20
  4. Step 4: Simplify right side
    85,487,625,905.20x = 10,210,476,573,226,667,343,872
  5. Step 5: Solve for x
    x = 10,210,476,573,226,667,343,872/85,487,625,905.20
  6. Step 6: Final answer
    x = 119,438,064,458

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.