Finding the Fourth Proportional to 54,354,409,208,578, 75,009,081,838,804 and 29,353,866,883,384
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Solution
The fourth proportional to 54,354,409,208,578, 75,009,081,838,804 and 29,353,866,883,384 is: 40,508,334,749,660.54
Step by Step Solution
- Step 1: Write the proportion equation
54,354,409,208,578 : 75,009,081,838,804 = 29,353,866,883,384 : x - Step 2: Convert to fraction form
54,354,409,208,578/75,009,081,838,804 = 29,353,866,883,384/x - Step 3: Cross multiply
54,354,409,208,578x = 75,009,081,838,804 × 29,353,866,883,384 - Step 4: Simplify right side
54,354,409,208,578x = 2,201,806,603,341,108,967,989,313,536 - Step 5: Solve for x
x = 2,201,806,603,341,108,967,989,313,536/54,354,409,208,578 - Step 6: Final answer
x = 40,508,334,749,660.54
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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.