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Finding the Fourth Proportional to 2,374,371,036,019, 3,561,556,554,028.50 and 2,374,371,036,019

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Solution

The fourth proportional to 2,374,371,036,019, 3,561,556,554,028.50 and 2,374,371,036,019 is: 3,561,556,554,028.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,374,371,036,019 : 3,561,556,554,028.50 = 2,374,371,036,019 : x
  2. Step 2: Convert to fraction form
    2,374,371,036,019/3,561,556,554,028.50 = 2,374,371,036,019/x
  3. Step 3: Cross multiply
    2,374,371,036,019x = 3,561,556,554,028.50 × 2,374,371,036,019
  4. Step 4: Simplify right side
    2,374,371,036,019x = 8,456,456,725,028,908,799,361,024
  5. Step 5: Solve for x
    x = 8,456,456,725,028,908,799,361,024/2,374,371,036,019
  6. Step 6: Final answer
    x = 3,561,556,554,028.50

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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.