Finding the Fourth Proportional to 631,464,758,290.80, 947,186,786,566.08 and 201,195,998,062.26
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Solution
The fourth proportional to 631,464,758,290.80, 947,186,786,566.08 and 201,195,998,062.26 is: 301,790,699,120.52
Step by Step Solution
- Step 1: Write the proportion equation
631,464,758,290.80 : 947,186,786,566.08 = 201,195,998,062.26 : x - Step 2: Convert to fraction form
631,464,758,290.80/947,186,786,566.08 = 201,195,998,062.26/x - Step 3: Cross multiply
631,464,758,290.80x = 947,186,786,566.08 × 201,195,998,062.26 - Step 4: Simplify right side
631,464,758,290.80x = 190,570,190,874,547,301,908,480 - Step 5: Solve for x
x = 190,570,190,874,547,301,908,480/631,464,758,290.80 - Step 6: Final answer
x = 301,790,699,120.52
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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.