Finding the Fourth Proportional to 825,243,282,022.88, 1,238,430,362,313.40 and 288,021,242,277.26
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Solution
The fourth proportional to 825,243,282,022.88, 1,238,430,362,313.40 and 288,021,242,277.26 is: 432,229,209,492.06
Step by Step Solution
- Step 1: Write the proportion equation
825,243,282,022.88 : 1,238,430,362,313.40 = 288,021,242,277.26 : x - Step 2: Convert to fraction form
825,243,282,022.88/1,238,430,362,313.40 = 288,021,242,277.26/x - Step 3: Cross multiply
825,243,282,022.88x = 1,238,430,362,313.40 × 288,021,242,277.26 - Step 4: Simplify right side
825,243,282,022.88x = 356,694,251,427,382,628,974,592 - Step 5: Solve for x
x = 356,694,251,427,382,628,974,592/825,243,282,022.88 - Step 6: Final answer
x = 432,229,209,492.06
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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.