Finding the Fourth Proportional to 185,751,171,190.29, 256,332,598,497.99 and 107,539,565,403.15
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Solution
The fourth proportional to 185,751,171,190.29, 256,332,598,497.99 and 107,539,565,403.15 is: 148,402,274,206.36
Step by Step Solution
- Step 1: Write the proportion equation
185,751,171,190.29 : 256,332,598,497.99 = 107,539,565,403.15 : x - Step 2: Convert to fraction form
185,751,171,190.29/256,332,598,497.99 = 107,539,565,403.15/x - Step 3: Cross multiply
185,751,171,190.29x = 256,332,598,497.99 × 107,539,565,403.15 - Step 4: Simplify right side
185,751,171,190.29x = 27,565,896,241,133,983,367,168 - Step 5: Solve for x
x = 27,565,896,241,133,983,367,168/185,751,171,190.29 - Step 6: Final answer
x = 148,402,274,206.36
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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.