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Finding the Fourth Proportional to 14,060,135,298,082, 21,090,202,947,122 and 14,060,135,298,082

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Solution

The fourth proportional to 14,060,135,298,082, 21,090,202,947,122 and 14,060,135,298,082 is: 21,090,202,947,122

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,060,135,298,082 : 21,090,202,947,122 = 14,060,135,298,082 : x
  2. Step 2: Convert to fraction form
    14,060,135,298,082/21,090,202,947,122 = 14,060,135,298,082/x
  3. Step 3: Cross multiply
    14,060,135,298,082x = 21,090,202,947,122 × 14,060,135,298,082
  4. Step 4: Simplify right side
    14,060,135,298,082x = 296,531,106,900,543,066,282,655,744
  5. Step 5: Solve for x
    x = 296,531,106,900,543,066,282,655,744/14,060,135,298,082
  6. Step 6: Final answer
    x = 21,090,202,947,122

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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.