Finding the Fourth Proportional to 75,789,441,136.74, 104,585,285,221.77 and 41,488,512,141.54
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Solution
The fourth proportional to 75,789,441,136.74, 104,585,285,221.77 and 41,488,512,141.54 is: 57,251,878,502.72
Step by Step Solution
- Step 1: Write the proportion equation
75,789,441,136.74 : 104,585,285,221.77 = 41,488,512,141.54 : x - Step 2: Convert to fraction form
75,789,441,136.74/104,585,285,221.77 = 41,488,512,141.54/x - Step 3: Cross multiply
75,789,441,136.74x = 104,585,285,221.77 × 41,488,512,141.54 - Step 4: Simplify right side
75,789,441,136.74x = 4,339,087,875,749,828,886,528 - Step 5: Solve for x
x = 4,339,087,875,749,828,886,528/75,789,441,136.74 - Step 6: Final answer
x = 57,251,878,502.72
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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.