Finding the Fourth Proportional to 948,185,456,549.75, 1,308,496,898,443.80 and 514,637,935,016
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Solution
The fourth proportional to 948,185,456,549.75, 1,308,496,898,443.80 and 514,637,935,016 is: 710,200,875,934.47
Step by Step Solution
- Step 1: Write the proportion equation
948,185,456,549.75 : 1,308,496,898,443.80 = 514,637,935,016 : x - Step 2: Convert to fraction form
948,185,456,549.75/1,308,496,898,443.80 = 514,637,935,016/x - Step 3: Cross multiply
948,185,456,549.75x = 1,308,496,898,443.80 × 514,637,935,016 - Step 4: Simplify right side
948,185,456,549.75x = 673,402,141,789,957,916,721,152 - Step 5: Solve for x
x = 673,402,141,789,957,916,721,152/948,185,456,549.75 - Step 6: Final answer
x = 710,200,875,934.47
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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.