Finding the Fourth Proportional to 509,763,456,010.40, 764,645,184,015.60 and 245,284,402,186.40
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Solution
The fourth proportional to 509,763,456,010.40, 764,645,184,015.60 and 245,284,402,186.40 is: 367,926,603,279.60
Step by Step Solution
- Step 1: Write the proportion equation
509,763,456,010.40 : 764,645,184,015.60 = 245,284,402,186.40 : x - Step 2: Convert to fraction form
509,763,456,010.40/764,645,184,015.60 = 245,284,402,186.40/x - Step 3: Cross multiply
509,763,456,010.40x = 764,645,184,015.60 × 245,284,402,186.40 - Step 4: Simplify right side
509,763,456,010.40x = 187,555,536,845,976,247,468,032 - Step 5: Solve for x
x = 187,555,536,845,976,247,468,032/509,763,456,010.40 - Step 6: Final answer
x = 367,926,603,279.60
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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.