Finding the Fourth Proportional to 770,533,212,230.64, 1,155,948,662,475 and 292,965,378,365.52
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Solution
The fourth proportional to 770,533,212,230.64, 1,155,948,662,475 and 292,965,378,365.52 is: 439,504,659,757.27
Step by Step Solution
- Step 1: Write the proportion equation
770,533,212,230.64 : 1,155,948,662,475 = 292,965,378,365.52 : x - Step 2: Convert to fraction form
770,533,212,230.64/1,155,948,662,475 = 292,965,378,365.52/x - Step 3: Cross multiply
770,533,212,230.64x = 1,155,948,662,475 × 292,965,378,365.52 - Step 4: Simplify right side
770,533,212,230.64x = 338,652,937,273,105,151,164,416 - Step 5: Solve for x
x = 338,652,937,273,105,151,164,416/770,533,212,230.64 - Step 6: Final answer
x = 439,504,659,757.27
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.