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Finding the Fourth Proportional to 412,808,206.82, 619,213,583.95 and 101,915,858.48

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Solution

The fourth proportional to 412,808,206.82, 619,213,583.95 and 101,915,858.48 is: 152,874,102.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,808,206.82 : 619,213,583.95 = 101,915,858.48 : x
  2. Step 2: Convert to fraction form
    412,808,206.82/619,213,583.95 = 101,915,858.48/x
  3. Step 3: Cross multiply
    412,808,206.82x = 619,213,583.95 × 101,915,858.48
  4. Step 4: Simplify right side
    412,808,206.82x = 63,107,683,987,390,936
  5. Step 5: Solve for x
    x = 63,107,683,987,390,936/412,808,206.82
  6. Step 6: Final answer
    x = 152,874,102.18

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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.