Finding the Fourth Proportional to 205,050,174,525.12, 307,663,651,054.08 and 110,704,389,133.44
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Solution
The fourth proportional to 205,050,174,525.12, 307,663,651,054.08 and 110,704,389,133.44 is: 166,104,304,116.71
Step by Step Solution
- Step 1: Write the proportion equation
205,050,174,525.12 : 307,663,651,054.08 = 110,704,389,133.44 : x - Step 2: Convert to fraction form
205,050,174,525.12/307,663,651,054.08 = 110,704,389,133.44/x - Step 3: Cross multiply
205,050,174,525.12x = 307,663,651,054.08 × 110,704,389,133.44 - Step 4: Simplify right side
205,050,174,525.12x = 34,059,716,548,505,773,277,184 - Step 5: Solve for x
x = 34,059,716,548,505,773,277,184/205,050,174,525.12 - Step 6: Final answer
x = 166,104,304,116.71
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1.5x scale
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.