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Finding the Fourth Proportional to 68,157,308,314.20, 102,235,962,471.30 and 68,157,308,314.20

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Solution

The fourth proportional to 68,157,308,314.20, 102,235,962,471.30 and 68,157,308,314.20 is: 102,235,962,471.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,157,308,314.20 : 102,235,962,471.30 = 68,157,308,314.20 : x
  2. Step 2: Convert to fraction form
    68,157,308,314.20/102,235,962,471.30 = 68,157,308,314.20/x
  3. Step 3: Cross multiply
    68,157,308,314.20x = 102,235,962,471.30 × 68,157,308,314.20
  4. Step 4: Simplify right side
    68,157,308,314.20x = 6,968,128,014,955,374,968,832
  5. Step 5: Solve for x
    x = 6,968,128,014,955,374,968,832/68,157,308,314.20
  6. Step 6: Final answer
    x = 102,235,962,471.30

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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.