Finding the Fourth Proportional to 237,463,282,073.36, 327,735,150,155.40 and 144,817,884,947.84
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Solution
The fourth proportional to 237,463,282,073.36, 327,735,150,155.40 and 144,817,884,947.84 is: 199,870,526,736.45
Step by Step Solution
- Step 1: Write the proportion equation
237,463,282,073.36 : 327,735,150,155.40 = 144,817,884,947.84 : x - Step 2: Convert to fraction form
237,463,282,073.36/327,735,150,155.40 = 144,817,884,947.84/x - Step 3: Cross multiply
237,463,282,073.36x = 327,735,150,155.40 × 144,817,884,947.84 - Step 4: Simplify right side
237,463,282,073.36x = 47,461,911,268,567,789,076,480 - Step 5: Solve for x
x = 47,461,911,268,567,789,076,480/237,463,282,073.36 - Step 6: Final answer
x = 199,870,526,736.45
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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.