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Finding the Fourth Proportional to 150,267,640,396.95, 225,401,460,595.42 and 150,267,640,396.95

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Solution

The fourth proportional to 150,267,640,396.95, 225,401,460,595.42 and 150,267,640,396.95 is: 225,401,460,595.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,267,640,396.95 : 225,401,460,595.42 = 150,267,640,396.95 : x
  2. Step 2: Convert to fraction form
    150,267,640,396.95/225,401,460,595.42 = 150,267,640,396.95/x
  3. Step 3: Cross multiply
    150,267,640,396.95x = 225,401,460,595.42 × 150,267,640,396.95
  4. Step 4: Simplify right side
    150,267,640,396.95x = 33,870,545,625,699,873,456,128
  5. Step 5: Solve for x
    x = 33,870,545,625,699,873,456,128/150,267,640,396.95
  6. Step 6: Final answer
    x = 225,401,460,595.42

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1.5x scale

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.