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Finding the Fourth Proportional to 234,500,778,839.70, 351,751,168,259.55 and 234,500,778,839.70

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Solution

The fourth proportional to 234,500,778,839.70, 351,751,168,259.55 and 234,500,778,839.70 is: 351,751,168,259.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,500,778,839.70 : 351,751,168,259.55 = 234,500,778,839.70 : x
  2. Step 2: Convert to fraction form
    234,500,778,839.70/351,751,168,259.55 = 234,500,778,839.70/x
  3. Step 3: Cross multiply
    234,500,778,839.70x = 351,751,168,259.55 × 234,500,778,839.70
  4. Step 4: Simplify right side
    234,500,778,839.70x = 82,485,922,914,638,843,871,232
  5. Step 5: Solve for x
    x = 82,485,922,914,638,843,871,232/234,500,778,839.70
  6. Step 6: Final answer
    x = 351,751,168,259.55

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1.5x scale

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.