Finding the Fourth Proportional to 232,960,755,232.50, 349,132,221,548.19 and 119,635,903,202.80
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Solution
The fourth proportional to 232,960,755,232.50, 349,132,221,548.19 and 119,635,903,202.80 is: 179,295,214,854.67
Step by Step Solution
- Step 1: Write the proportion equation
232,960,755,232.50 : 349,132,221,548.19 = 119,635,903,202.80 : x - Step 2: Convert to fraction form
232,960,755,232.50/349,132,221,548.19 = 119,635,903,202.80/x - Step 3: Cross multiply
232,960,755,232.50x = 349,132,221,548.19 × 119,635,903,202.80 - Step 4: Simplify right side
232,960,755,232.50x = 41,768,748,662,117,785,141,248 - Step 5: Solve for x
x = 41,768,748,662,117,785,141,248/232,960,755,232.50 - Step 6: Final answer
x = 179,295,214,854.67
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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.