Finding the Fourth Proportional to 1,664,399,226.32, 2,296,000,126.35 and 1,029,116,643.19
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Solution
The fourth proportional to 1,664,399,226.32, 2,296,000,126.35 and 1,029,116,643.19 is: 1,419,642,538.54
Step by Step Solution
- Step 1: Write the proportion equation
1,664,399,226.32 : 2,296,000,126.35 = 1,029,116,643.19 : x - Step 2: Convert to fraction form
1,664,399,226.32/2,296,000,126.35 = 1,029,116,643.19/x - Step 3: Cross multiply
1,664,399,226.32x = 2,296,000,126.35 × 1,029,116,643.19 - Step 4: Simplify right side
1,664,399,226.32x = 2,362,851,942,793,127,936 - Step 5: Solve for x
x = 2,362,851,942,793,127,936/1,664,399,226.32 - Step 6: Final answer
x = 1,419,642,538.54
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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.