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Finding the Fourth Proportional to 401,060,808,838.26, 601,591,213,257.40 and 401,060,808,838.26

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Solution

The fourth proportional to 401,060,808,838.26, 601,591,213,257.40 and 401,060,808,838.26 is: 601,591,213,257.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,060,808,838.26 : 601,591,213,257.40 = 401,060,808,838.26 : x
  2. Step 2: Convert to fraction form
    401,060,808,838.26/601,591,213,257.40 = 401,060,808,838.26/x
  3. Step 3: Cross multiply
    401,060,808,838.26x = 601,591,213,257.40 × 401,060,808,838.26
  4. Step 4: Simplify right side
    401,060,808,838.26x = 241,274,658,579,003,033,518,080
  5. Step 5: Solve for x
    x = 241,274,658,579,003,033,518,080/401,060,808,838.26
  6. Step 6: Final answer
    x = 601,591,213,257.40

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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.