Finding the Fourth Proportional to 4,160,917,046.16, 5,742,035,173.80 and 2,281,291,327.44
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Solution
The fourth proportional to 4,160,917,046.16, 5,742,035,173.80 and 2,281,291,327.44 is: 3,148,165,392.03
Step by Step Solution
- Step 1: Write the proportion equation
4,160,917,046.16 : 5,742,035,173.80 = 2,281,291,327.44 : x - Step 2: Convert to fraction form
4,160,917,046.16/5,742,035,173.80 = 2,281,291,327.44/x - Step 3: Cross multiply
4,160,917,046.16x = 5,742,035,173.80 × 2,281,291,327.44 - Step 4: Simplify right side
4,160,917,046.16x = 13,099,255,043,845,373,952 - Step 5: Solve for x
x = 13,099,255,043,845,373,952/4,160,917,046.16 - Step 6: Final answer
x = 3,148,165,392.03
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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.