Finding the Fourth Proportional to 511,788,354,751.36, 706,290,130,566.96 and 283,417,596,737.46
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Solution
The fourth proportional to 511,788,354,751.36, 706,290,130,566.96 and 283,417,596,737.46 is: 391,128,577,948.84
Step by Step Solution
- Step 1: Write the proportion equation
511,788,354,751.36 : 706,290,130,566.96 = 283,417,596,737.46 : x - Step 2: Convert to fraction form
511,788,354,751.36/706,290,130,566.96 = 283,417,596,737.46/x - Step 3: Cross multiply
511,788,354,751.36x = 706,290,130,566.96 × 283,417,596,737.46 - Step 4: Simplify right side
511,788,354,751.36x = 200,175,051,404,674,638,807,040 - Step 5: Solve for x
x = 200,175,051,404,674,638,807,040/511,788,354,751.36 - Step 6: Final answer
x = 391,128,577,948.84
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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.