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Finding the Fourth Proportional to 33,401,164,428.90, 50,101,746,643.35 and 33,401,164,428.90

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Solution

The fourth proportional to 33,401,164,428.90, 50,101,746,643.35 and 33,401,164,428.90 is: 50,101,746,643.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,401,164,428.90 : 50,101,746,643.35 = 33,401,164,428.90 : x
  2. Step 2: Convert to fraction form
    33,401,164,428.90/50,101,746,643.35 = 33,401,164,428.90/x
  3. Step 3: Cross multiply
    33,401,164,428.90x = 50,101,746,643.35 × 33,401,164,428.90
  4. Step 4: Simplify right side
    33,401,164,428.90x = 1,673,456,677,809,622,089,728
  5. Step 5: Solve for x
    x = 1,673,456,677,809,622,089,728/33,401,164,428.90
  6. Step 6: Final answer
    x = 50,101,746,643.35

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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.