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Finding the Fourth Proportional to 401,060,808,830.02, 601,591,213,245 and 401,060,808,830.02

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Solution

The fourth proportional to 401,060,808,830.02, 601,591,213,245 and 401,060,808,830.02 is: 601,591,213,245

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,060,808,830.02 : 601,591,213,245 = 401,060,808,830.02 : x
  2. Step 2: Convert to fraction form
    401,060,808,830.02/601,591,213,245 = 401,060,808,830.02/x
  3. Step 3: Cross multiply
    401,060,808,830.02x = 601,591,213,245 × 401,060,808,830.02
  4. Step 4: Simplify right side
    401,060,808,830.02x = 241,274,658,569,072,767,139,840
  5. Step 5: Solve for x
    x = 241,274,658,569,072,767,139,840/401,060,808,830.02
  6. Step 6: Final answer
    x = 601,591,213,245

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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.