Finding the Fourth Proportional to 511,788,354,767.66, 706,290,130,589.52 and 283,417,596,753.68
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Solution
The fourth proportional to 511,788,354,767.66, 706,290,130,589.52 and 283,417,596,753.68 is: 391,128,577,971.26
Step by Step Solution
- Step 1: Write the proportion equation
511,788,354,767.66 : 706,290,130,589.52 = 283,417,596,753.68 : x - Step 2: Convert to fraction form
511,788,354,767.66/706,290,130,589.52 = 283,417,596,753.68/x - Step 3: Cross multiply
511,788,354,767.66x = 706,290,130,589.52 × 283,417,596,753.68 - Step 4: Simplify right side
511,788,354,767.66x = 200,175,051,422,524,556,443,648 - Step 5: Solve for x
x = 200,175,051,422,524,556,443,648/511,788,354,767.66 - Step 6: Final answer
x = 391,128,577,971.26
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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.