Finding the Fourth Proportional to 61,509,043,238,264, 84,882,563,725,132 and 33,383,436,262,138
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Solution
The fourth proportional to 61,509,043,238,264, 84,882,563,725,132 and 33,383,436,262,138 is: 46,069,187,662,506.51
Step by Step Solution
- Step 1: Write the proportion equation
61,509,043,238,264 : 84,882,563,725,132 = 33,383,436,262,138 : x - Step 2: Convert to fraction form
61,509,043,238,264/84,882,563,725,132 = 33,383,436,262,138/x - Step 3: Cross multiply
61,509,043,238,264x = 84,882,563,725,132 × 33,383,436,262,138 - Step 4: Simplify right side
61,509,043,238,264x = 2,833,671,655,884,811,098,187,104,256 - Step 5: Solve for x
x = 2,833,671,655,884,811,098,187,104,256/61,509,043,238,264 - Step 6: Final answer
x = 46,069,187,662,506.51
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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.