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Finding the Fourth Proportional to 2,827,738,512,007.50, 4,241,607,768,011.30 and 2,827,738,512,007.50

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Solution

The fourth proportional to 2,827,738,512,007.50, 4,241,607,768,011.30 and 2,827,738,512,007.50 is: 4,241,607,768,011.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,827,738,512,007.50 : 4,241,607,768,011.30 = 2,827,738,512,007.50 : x
  2. Step 2: Convert to fraction form
    2,827,738,512,007.50/4,241,607,768,011.30 = 2,827,738,512,007.50/x
  3. Step 3: Cross multiply
    2,827,738,512,007.50x = 4,241,607,768,011.30 × 2,827,738,512,007.50
  4. Step 4: Simplify right side
    2,827,738,512,007.50x = 11,994,157,638,435,725,987,807,232
  5. Step 5: Solve for x
    x = 11,994,157,638,435,725,987,807,232/2,827,738,512,007.50
  6. Step 6: Final answer
    x = 4,241,607,768,011.30

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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.