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Finding the Fourth Proportional to 10,751,012,064,007, 16,126,518,096,009 and 10,751,012,064,007

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Solution

The fourth proportional to 10,751,012,064,007, 16,126,518,096,009 and 10,751,012,064,007 is: 16,126,518,096,009

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,751,012,064,007 : 16,126,518,096,009 = 10,751,012,064,007 : x
  2. Step 2: Convert to fraction form
    10,751,012,064,007/16,126,518,096,009 = 10,751,012,064,007/x
  3. Step 3: Cross multiply
    10,751,012,064,007x = 16,126,518,096,009 × 10,751,012,064,007
  4. Step 4: Simplify right side
    10,751,012,064,007x = 173,376,390,600,619,952,833,560,576
  5. Step 5: Solve for x
    x = 173,376,390,600,619,952,833,560,576/10,751,012,064,007
  6. Step 6: Final answer
    x = 16,126,518,096,009

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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.