Finding the Fourth Proportional to 23,058,938,004,210, 31,822,251,898,852 and 12,654,167,689,198
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Solution
The fourth proportional to 23,058,938,004,210, 31,822,251,898,852 and 12,654,167,689,198 is: 17,463,254,886,346.12
Step by Step Solution
- Step 1: Write the proportion equation
23,058,938,004,210 : 31,822,251,898,852 = 12,654,167,689,198 : x - Step 2: Convert to fraction form
23,058,938,004,210/31,822,251,898,852 = 12,654,167,689,198/x - Step 3: Cross multiply
23,058,938,004,210x = 31,822,251,898,852 × 12,654,167,689,198 - Step 4: Simplify right side
23,058,938,004,210x = 402,684,111,775,972,655,225,634,816 - Step 5: Solve for x
x = 402,684,111,775,972,655,225,634,816/23,058,938,004,210 - Step 6: Final answer
x = 17,463,254,886,346.12
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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.