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Finding the Fourth Proportional to 13,186,116,384,001, 19,779,174,576,001 and 13,186,116,384,001

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Solution

The fourth proportional to 13,186,116,384,001, 19,779,174,576,001 and 13,186,116,384,001 is: 19,779,174,576,001

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,186,116,384,001 : 19,779,174,576,001 = 13,186,116,384,001 : x
  2. Step 2: Convert to fraction form
    13,186,116,384,001/19,779,174,576,001 = 13,186,116,384,001/x
  3. Step 3: Cross multiply
    13,186,116,384,001x = 19,779,174,576,001 × 13,186,116,384,001
  4. Step 4: Simplify right side
    13,186,116,384,001x = 260,810,497,938,622,831,952,658,432
  5. Step 5: Solve for x
    x = 260,810,497,938,622,831,952,658,432/13,186,116,384,001
  6. Step 6: Final answer
    x = 19,779,174,576,001

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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.