Finding the Fourth Proportional to 765,168,307,547.35, 1,147,756,751,700.40 and 255,225,675,091.62
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Solution
The fourth proportional to 765,168,307,547.35, 1,147,756,751,700.40 and 255,225,675,091.62 is: 382,839,943,714.70
Step by Step Solution
- Step 1: Write the proportion equation
765,168,307,547.35 : 1,147,756,751,700.40 = 255,225,675,091.62 : x - Step 2: Convert to fraction form
765,168,307,547.35/1,147,756,751,700.40 = 255,225,675,091.62/x - Step 3: Cross multiply
765,168,307,547.35x = 1,147,756,751,700.40 × 255,225,675,091.62 - Step 4: Simplify right side
765,168,307,547.35x = 292,936,991,793,699,444,752,384 - Step 5: Solve for x
x = 292,936,991,793,699,444,752,384/765,168,307,547.35 - Step 6: Final answer
x = 382,839,943,714.70
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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.