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Finding the Fourth Proportional to 401,060,808,825.05, 601,591,213,237.55 and 401,060,808,825.05

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Solution

The fourth proportional to 401,060,808,825.05, 601,591,213,237.55 and 401,060,808,825.05 is: 601,591,213,237.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,060,808,825.05 : 601,591,213,237.55 = 401,060,808,825.05 : x
  2. Step 2: Convert to fraction form
    401,060,808,825.05/601,591,213,237.55 = 401,060,808,825.05/x
  3. Step 3: Cross multiply
    401,060,808,825.05x = 601,591,213,237.55 × 401,060,808,825.05
  4. Step 4: Simplify right side
    401,060,808,825.05x = 241,274,658,563,094,944,415,744
  5. Step 5: Solve for x
    x = 241,274,658,563,094,944,415,744/401,060,808,825.05
  6. Step 6: Final answer
    x = 601,591,213,237.55

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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.