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Finding the Fourth Proportional to 1,201,804,597.65, 1,802,706,896.48 and 1,201,804,597.65

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Solution

The fourth proportional to 1,201,804,597.65, 1,802,706,896.48 and 1,201,804,597.65 is: 1,802,706,896.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,201,804,597.65 : 1,802,706,896.48 = 1,201,804,597.65 : x
  2. Step 2: Convert to fraction form
    1,201,804,597.65/1,802,706,896.48 = 1,201,804,597.65/x
  3. Step 3: Cross multiply
    1,201,804,597.65x = 1,802,706,896.48 × 1,201,804,597.65
  4. Step 4: Simplify right side
    1,201,804,597.65x = 2,166,501,436,399,017,728
  5. Step 5: Solve for x
    x = 2,166,501,436,399,017,728/1,201,804,597.65
  6. Step 6: Final answer
    x = 1,802,706,896.48

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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.