Finding the Fourth Proportional to 96,673,102,665.80, 133,415,932,731.70 and 56,038,504,677.05
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Solution
The fourth proportional to 96,673,102,665.80, 133,415,932,731.70 and 56,038,504,677.05 is: 77,337,223,738.69
Step by Step Solution
- Step 1: Write the proportion equation
96,673,102,665.80 : 133,415,932,731.70 = 56,038,504,677.05 : x - Step 2: Convert to fraction form
96,673,102,665.80/133,415,932,731.70 = 56,038,504,677.05/x - Step 3: Cross multiply
96,673,102,665.80x = 133,415,932,731.70 × 56,038,504,677.05 - Step 4: Simplify right side
96,673,102,665.80x = 7,476,429,370,378,358,358,016 - Step 5: Solve for x
x = 7,476,429,370,378,358,358,016/96,673,102,665.80 - Step 6: Final answer
x = 77,337,223,738.69
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.