Finding the Fourth Proportional to 825,243,282,022.14, 1,238,430,362,312.20 and 288,021,242,276.51
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Solution
The fourth proportional to 825,243,282,022.14, 1,238,430,362,312.20 and 288,021,242,276.51 is: 432,229,209,490.90
Step by Step Solution
- Step 1: Write the proportion equation
825,243,282,022.14 : 1,238,430,362,312.20 = 288,021,242,276.51 : x - Step 2: Convert to fraction form
825,243,282,022.14/1,238,430,362,312.20 = 288,021,242,276.51/x - Step 3: Cross multiply
825,243,282,022.14x = 1,238,430,362,312.20 × 288,021,242,276.51 - Step 4: Simplify right side
825,243,282,022.14x = 356,694,251,426,108,231,647,232 - Step 5: Solve for x
x = 356,694,251,426,108,231,647,232/825,243,282,022.14 - Step 6: Final answer
x = 432,229,209,490.90
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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.