Finding the Fourth Proportional to 54,354,409,208,576, 75,009,081,838,802 and 29,353,866,883,382
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Solution
The fourth proportional to 54,354,409,208,576, 75,009,081,838,802 and 29,353,866,883,382 is: 40,508,334,749,658.19
Step by Step Solution
- Step 1: Write the proportion equation
54,354,409,208,576 : 75,009,081,838,802 = 29,353,866,883,382 : x - Step 2: Convert to fraction form
54,354,409,208,576/75,009,081,838,802 = 29,353,866,883,382/x - Step 3: Cross multiply
54,354,409,208,576x = 75,009,081,838,802 × 29,353,866,883,382 - Step 4: Simplify right side
54,354,409,208,576x = 2,201,806,603,340,900,335,657,943,040 - Step 5: Solve for x
x = 2,201,806,603,340,900,335,657,943,040/54,354,409,208,576 - Step 6: Final answer
x = 40,508,334,749,658.19
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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.