Finding the Fourth Proportional to 201,528,454,580.29, 278,107,614,238.84 and 110,077,063,687.09
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Solution
The fourth proportional to 201,528,454,580.29, 278,107,614,238.84 and 110,077,063,687.09 is: 151,905,444,956.59
Step by Step Solution
- Step 1: Write the proportion equation
201,528,454,580.29 : 278,107,614,238.84 = 110,077,063,687.09 : x - Step 2: Convert to fraction form
201,528,454,580.29/278,107,614,238.84 = 110,077,063,687.09/x - Step 3: Cross multiply
201,528,454,580.29x = 278,107,614,238.84 × 110,077,063,687.09 - Step 4: Simplify right side
201,528,454,580.29x = 30,613,269,564,433,448,828,928 - Step 5: Solve for x
x = 30,613,269,564,433,448,828,928/201,528,454,580.29 - Step 6: Final answer
x = 151,905,444,956.59
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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.