Finding the Fourth Proportional to 201,422,609,436.64, 278,088,645,939.12 and 128,220,143,646.88
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Solution
The fourth proportional to 201,422,609,436.64, 278,088,645,939.12 and 128,220,143,646.88 is: 177,023,653,047.73
Step by Step Solution
- Step 1: Write the proportion equation
201,422,609,436.64 : 278,088,645,939.12 = 128,220,143,646.88 : x - Step 2: Convert to fraction form
201,422,609,436.64/278,088,645,939.12 = 128,220,143,646.88/x - Step 3: Cross multiply
201,422,609,436.64x = 278,088,645,939.12 × 128,220,143,646.88 - Step 4: Simplify right side
201,422,609,436.64x = 35,656,566,128,880,321,036,288 - Step 5: Solve for x
x = 35,656,566,128,880,321,036,288/201,422,609,436.64 - Step 6: Final answer
x = 177,023,653,047.73
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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.