Finding the Fourth Proportional to 220,024,242,165.12, 330,035,951,282.46 and 68,942,109,544.06
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Solution
The fourth proportional to 220,024,242,165.12, 330,035,951,282.46 and 68,942,109,544.06 is: 103,413,035,231.45
Step by Step Solution
- Step 1: Write the proportion equation
220,024,242,165.12 : 330,035,951,282.46 = 68,942,109,544.06 : x - Step 2: Convert to fraction form
220,024,242,165.12/330,035,951,282.46 = 68,942,109,544.06/x - Step 3: Cross multiply
220,024,242,165.12x = 330,035,951,282.46 × 68,942,109,544.06 - Step 4: Simplify right side
220,024,242,165.12x = 22,753,374,706,794,068,180,992 - Step 5: Solve for x
x = 22,753,374,706,794,068,180,992/220,024,242,165.12 - Step 6: Final answer
x = 103,413,035,231.45
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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.