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Finding the Fourth Proportional to 401,060,808,812.51, 601,591,213,218.77 and 401,060,808,812.51

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Solution

The fourth proportional to 401,060,808,812.51, 601,591,213,218.77 and 401,060,808,812.51 is: 601,591,213,218.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,060,808,812.51 : 601,591,213,218.77 = 401,060,808,812.51 : x
  2. Step 2: Convert to fraction form
    401,060,808,812.51/601,591,213,218.77 = 401,060,808,812.51/x
  3. Step 3: Cross multiply
    401,060,808,812.51x = 601,591,213,218.77 × 401,060,808,812.51
  4. Step 4: Simplify right side
    401,060,808,812.51x = 241,274,658,548,019,072,335,872
  5. Step 5: Solve for x
    x = 241,274,658,548,019,072,335,872/401,060,808,812.51
  6. Step 6: Final answer
    x = 601,591,213,218.77

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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.