Finding the Fourth Proportional to 785,056,657,610.50, 1,083,378,189,588.60 and 424,174,472,107
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Solution
The fourth proportional to 785,056,657,610.50, 1,083,378,189,588.60 and 424,174,472,107 is: 585,360,772,634.81
Step by Step Solution
- Step 1: Write the proportion equation
785,056,657,610.50 : 1,083,378,189,588.60 = 424,174,472,107 : x - Step 2: Convert to fraction form
785,056,657,610.50/1,083,378,189,588.60 = 424,174,472,107/x - Step 3: Cross multiply
785,056,657,610.50x = 1,083,378,189,588.60 × 424,174,472,107 - Step 4: Simplify right side
785,056,657,610.50x = 459,541,371,660,981,728,444,416 - Step 5: Solve for x
x = 459,541,371,660,981,728,444,416/785,056,657,610.50 - Step 6: Final answer
x = 585,360,772,634.81
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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.