Finding the Fourth Proportional to 982,758,589,848.68, 1,356,089,396,999.30 and 543,236,601,288.20
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Solution
The fourth proportional to 982,758,589,848.68, 1,356,089,396,999.30 and 543,236,601,288.20 is: 749,601,583,418.66
Step by Step Solution
- Step 1: Write the proportion equation
982,758,589,848.68 : 1,356,089,396,999.30 = 543,236,601,288.20 : x - Step 2: Convert to fraction form
982,758,589,848.68/1,356,089,396,999.30 = 543,236,601,288.20/x - Step 3: Cross multiply
982,758,589,848.68x = 1,356,089,396,999.30 × 543,236,601,288.20 - Step 4: Simplify right side
982,758,589,848.68x = 736,677,395,068,864,335,708,160 - Step 5: Solve for x
x = 736,677,395,068,864,335,708,160/982,758,589,848.68 - Step 6: Final answer
x = 749,601,583,418.66
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.