Finding the Fourth Proportional to 27,710,323,297,704, 38,240,284,018,850 and 15,039,509,040,360
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Solution
The fourth proportional to 27,710,323,297,704, 38,240,284,018,850 and 15,039,509,040,360 is: 20,754,543,028,196.32
Step by Step Solution
- Step 1: Write the proportion equation
27,710,323,297,704 : 38,240,284,018,850 = 15,039,509,040,360 : x - Step 2: Convert to fraction form
27,710,323,297,704/38,240,284,018,850 = 15,039,509,040,360/x - Step 3: Cross multiply
27,710,323,297,704x = 38,240,284,018,850 × 15,039,509,040,360 - Step 4: Simplify right side
27,710,323,297,704x = 575,115,097,207,428,632,195,104,768 - Step 5: Solve for x
x = 575,115,097,207,428,632,195,104,768/27,710,323,297,704 - Step 6: Final answer
x = 20,754,543,028,196.32
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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.