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Finding the Fourth Proportional to 2,013,797,376,002, 3,020,696,064,002.80 and 2,013,797,376,002

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Solution

The fourth proportional to 2,013,797,376,002, 3,020,696,064,002.80 and 2,013,797,376,002 is: 3,020,696,064,002.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,013,797,376,002 : 3,020,696,064,002.80 = 2,013,797,376,002 : x
  2. Step 2: Convert to fraction form
    2,013,797,376,002/3,020,696,064,002.80 = 2,013,797,376,002/x
  3. Step 3: Cross multiply
    2,013,797,376,002x = 3,020,696,064,002.80 × 2,013,797,376,002
  4. Step 4: Simplify right side
    2,013,797,376,002x = 6,083,069,807,388,407,858,462,720
  5. Step 5: Solve for x
    x = 6,083,069,807,388,407,858,462,720/2,013,797,376,002
  6. Step 6: Final answer
    x = 3,020,696,064,002.80

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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.