Finding the Fourth Proportional to 471,411,751,026.08, 706,641,052,290.96 and 202,975,790,644.64
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Solution
The fourth proportional to 471,411,751,026.08, 706,641,052,290.96 and 202,975,790,644.64 is: 304,258,487,359.56
Step by Step Solution
- Step 1: Write the proportion equation
471,411,751,026.08 : 706,641,052,290.96 = 202,975,790,644.64 : x - Step 2: Convert to fraction form
471,411,751,026.08/706,641,052,290.96 = 202,975,790,644.64/x - Step 3: Cross multiply
471,411,751,026.08x = 706,641,052,290.96 × 202,975,790,644.64 - Step 4: Simplify right side
471,411,751,026.08x = 143,431,026,290,717,999,759,360 - Step 5: Solve for x
x = 143,431,026,290,717,999,759,360/471,411,751,026.08 - Step 6: Final answer
x = 304,258,487,359.56
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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.