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Finding the Fourth Proportional to 1,401,681,002.74, 2,102,521,504.11 and 1,401,681,002.74

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Solution

The fourth proportional to 1,401,681,002.74, 2,102,521,504.11 and 1,401,681,002.74 is: 2,102,521,504.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,401,681,002.74 : 2,102,521,504.11 = 1,401,681,002.74 : x
  2. Step 2: Convert to fraction form
    1,401,681,002.74/2,102,521,504.11 = 1,401,681,002.74/x
  3. Step 3: Cross multiply
    1,401,681,002.74x = 2,102,521,504.11 × 1,401,681,002.74
  4. Step 4: Simplify right side
    1,401,681,002.74x = 2,947,064,450,152,735,232
  5. Step 5: Solve for x
    x = 2,947,064,450,152,735,232/1,401,681,002.74
  6. Step 6: Final answer
    x = 2,102,521,504.11

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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.