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Finding the Fourth Proportional to 2,671,129,821,815.70, 4,006,694,732,723.70 and 2,671,129,821,815.70

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Solution

The fourth proportional to 2,671,129,821,815.70, 4,006,694,732,723.70 and 2,671,129,821,815.70 is: 4,006,694,732,723.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,671,129,821,815.70 : 4,006,694,732,723.70 = 2,671,129,821,815.70 : x
  2. Step 2: Convert to fraction form
    2,671,129,821,815.70/4,006,694,732,723.70 = 2,671,129,821,815.70/x
  3. Step 3: Cross multiply
    2,671,129,821,815.70x = 4,006,694,732,723.70 × 2,671,129,821,815.70
  4. Step 4: Simplify right side
    2,671,129,821,815.70x = 10,702,401,787,490,160,884,056,064
  5. Step 5: Solve for x
    x = 10,702,401,787,490,160,884,056,064/2,671,129,821,815.70
  6. Step 6: Final answer
    x = 4,006,694,732,723.70

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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.