Finding the Fourth Proportional to 233,314,524,750.16, 322,025,841,032.36 and 141,843,639,197.44
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Solution
The fourth proportional to 233,314,524,750.16, 322,025,841,032.36 and 141,843,639,197.44 is: 195,775,712,020.33
Step by Step Solution
- Step 1: Write the proportion equation
233,314,524,750.16 : 322,025,841,032.36 = 141,843,639,197.44 : x - Step 2: Convert to fraction form
233,314,524,750.16/322,025,841,032.36 = 141,843,639,197.44/x - Step 3: Cross multiply
233,314,524,750.16x = 322,025,841,032.36 × 141,843,639,197.44 - Step 4: Simplify right side
233,314,524,750.16x = 45,677,317,207,646,235,787,264 - Step 5: Solve for x
x = 45,677,317,207,646,235,787,264/233,314,524,750.16 - Step 6: Final answer
x = 195,775,712,020.33
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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.