Finding the Fourth Proportional to 511,788,354,750.70, 706,290,130,566.10 and 283,417,596,736.82
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Solution
The fourth proportional to 511,788,354,750.70, 706,290,130,566.10 and 283,417,596,736.82 is: 391,128,577,947.98
Step by Step Solution
- Step 1: Write the proportion equation
511,788,354,750.70 : 706,290,130,566.10 = 283,417,596,736.82 : x - Step 2: Convert to fraction form
511,788,354,750.70/706,290,130,566.10 = 283,417,596,736.82/x - Step 3: Cross multiply
511,788,354,750.70x = 706,290,130,566.10 × 283,417,596,736.82 - Step 4: Simplify right side
511,788,354,750.70x = 200,175,051,403,978,887,659,520 - Step 5: Solve for x
x = 200,175,051,403,978,887,659,520/511,788,354,750.70 - Step 6: Final answer
x = 391,128,577,947.98
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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.