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Finding the Fourth Proportional to 111,299,346,965.80, 166,949,020,448.70 and 111,299,346,965.80

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Solution

The fourth proportional to 111,299,346,965.80, 166,949,020,448.70 and 111,299,346,965.80 is: 166,949,020,448.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,299,346,965.80 : 166,949,020,448.70 = 111,299,346,965.80 : x
  2. Step 2: Convert to fraction form
    111,299,346,965.80/166,949,020,448.70 = 111,299,346,965.80/x
  3. Step 3: Cross multiply
    111,299,346,965.80x = 166,949,020,448.70 × 111,299,346,965.80
  4. Step 4: Simplify right side
    111,299,346,965.80x = 18,581,316,952,520,302,526,464
  5. Step 5: Solve for x
    x = 18,581,316,952,520,302,526,464/111,299,346,965.80
  6. Step 6: Final answer
    x = 166,949,020,448.70

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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.