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Finding the Fourth Proportional to 400,713,705,414.45, 601,070,558,121.68 and 400,713,705,414.45

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Solution

The fourth proportional to 400,713,705,414.45, 601,070,558,121.68 and 400,713,705,414.45 is: 601,070,558,121.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,713,705,414.45 : 601,070,558,121.68 = 400,713,705,414.45 : x
  2. Step 2: Convert to fraction form
    400,713,705,414.45/601,070,558,121.68 = 400,713,705,414.45/x
  3. Step 3: Cross multiply
    400,713,705,414.45x = 601,070,558,121.68 × 400,713,705,414.45
  4. Step 4: Simplify right side
    400,713,705,414.45x = 240,857,210,560,469,968,879,616
  5. Step 5: Solve for x
    x = 240,857,210,560,469,968,879,616/400,713,705,414.45
  6. Step 6: Final answer
    x = 601,070,558,121.68

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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.