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Finding the Fourth Proportional to 1,594,051,812,072, 2,391,077,718,108 and 1,594,051,812,072

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Solution

The fourth proportional to 1,594,051,812,072, 2,391,077,718,108 and 1,594,051,812,072 is: 2,391,077,718,108

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,594,051,812,072 : 2,391,077,718,108 = 1,594,051,812,072 : x
  2. Step 2: Convert to fraction form
    1,594,051,812,072/2,391,077,718,108 = 1,594,051,812,072/x
  3. Step 3: Cross multiply
    1,594,051,812,072x = 2,391,077,718,108 × 1,594,051,812,072
  4. Step 4: Simplify right side
    1,594,051,812,072x = 3,811,501,769,355,040,403,750,912
  5. Step 5: Solve for x
    x = 3,811,501,769,355,040,403,750,912/1,594,051,812,072
  6. Step 6: Final answer
    x = 2,391,077,718,108

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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.