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Finding the Fourth Proportional to 1,267,730,504,902, 1,901,595,757,353 and 1,267,730,504,902

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Solution

The fourth proportional to 1,267,730,504,902, 1,901,595,757,353 and 1,267,730,504,902 is: 1,901,595,757,353

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,267,730,504,902 : 1,901,595,757,353 = 1,267,730,504,902 : x
  2. Step 2: Convert to fraction form
    1,267,730,504,902/1,901,595,757,353 = 1,267,730,504,902/x
  3. Step 3: Cross multiply
    1,267,730,504,902x = 1,901,595,757,353 × 1,267,730,504,902
  4. Step 4: Simplify right side
    1,267,730,504,902x = 2,410,710,949,588,619,875,057,664
  5. Step 5: Solve for x
    x = 2,410,710,949,588,619,875,057,664/1,267,730,504,902
  6. Step 6: Final answer
    x = 1,901,595,757,353

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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.