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Finding the Fourth Proportional to 9,845,468,353,003, 14,768,202,529,505 and 9,845,468,353,003

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Solution

The fourth proportional to 9,845,468,353,003, 14,768,202,529,505 and 9,845,468,353,003 is: 14,768,202,529,505

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,845,468,353,003 : 14,768,202,529,505 = 9,845,468,353,003 : x
  2. Step 2: Convert to fraction form
    9,845,468,353,003/14,768,202,529,505 = 9,845,468,353,003/x
  3. Step 3: Cross multiply
    9,845,468,353,003x = 14,768,202,529,505 × 9,845,468,353,003
  4. Step 4: Simplify right side
    9,845,468,353,003x = 145,399,870,634,980,330,080,043,008
  5. Step 5: Solve for x
    x = 145,399,870,634,980,330,080,043,008/9,845,468,353,003
  6. Step 6: Final answer
    x = 14,768,202,529,505

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.