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Finding the Fourth Proportional to 266,975,999.80, 400,463,999.70 and 105,396,940.60

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Solution

The fourth proportional to 266,975,999.80, 400,463,999.70 and 105,396,940.60 is: 158,095,410.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,975,999.80 : 400,463,999.70 = 105,396,940.60 : x
  2. Step 2: Convert to fraction form
    266,975,999.80/400,463,999.70 = 105,396,940.60/x
  3. Step 3: Cross multiply
    266,975,999.80x = 400,463,999.70 × 105,396,940.60
  4. Step 4: Simplify right side
    266,975,999.80x = 42,207,680,388,819,312
  5. Step 5: Solve for x
    x = 42,207,680,388,819,312/266,975,999.80
  6. Step 6: Final answer
    x = 158,095,410.90

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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.