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Finding the Fourth Proportional to 401,060,808,835.08, 601,591,213,252.60 and 401,060,808,835.08

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Solution

The fourth proportional to 401,060,808,835.08, 601,591,213,252.60 and 401,060,808,835.08 is: 601,591,213,252.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,060,808,835.08 : 601,591,213,252.60 = 401,060,808,835.08 : x
  2. Step 2: Convert to fraction form
    401,060,808,835.08/601,591,213,252.60 = 401,060,808,835.08/x
  3. Step 3: Cross multiply
    401,060,808,835.08x = 601,591,213,252.60 × 401,060,808,835.08
  4. Step 4: Simplify right side
    401,060,808,835.08x = 241,274,658,575,164,842,704,896
  5. Step 5: Solve for x
    x = 241,274,658,575,164,842,704,896/401,060,808,835.08
  6. Step 6: Final answer
    x = 601,591,213,252.60

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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.