Finding the Fourth Proportional to 1,669,428,997.84, 2,504,224,034.44 and 548,927,848.77
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Solution
The fourth proportional to 1,669,428,997.84, 2,504,224,034.44 and 548,927,848.77 is: 823,418,254.89
Step by Step Solution
- Step 1: Write the proportion equation
1,669,428,997.84 : 2,504,224,034.44 = 548,927,848.77 : x - Step 2: Convert to fraction form
1,669,428,997.84/2,504,224,034.44 = 548,927,848.77/x - Step 3: Cross multiply
1,669,428,997.84x = 2,504,224,034.44 × 548,927,848.77 - Step 4: Simplify right side
1,669,428,997.84x = 1,374,638,312,066,409,984 - Step 5: Solve for x
x = 1,374,638,312,066,409,984/1,669,428,997.84 - Step 6: Final answer
x = 823,418,254.89
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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.