Finding the Fourth Proportional to 46,636,713,826,582, 64,360,688,147,726 and 25,826,428,502,564
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Solution
The fourth proportional to 46,636,713,826,582, 64,360,688,147,726 and 25,826,428,502,564 is: 35,641,591,665,398.15
Step by Step Solution
- Step 1: Write the proportion equation
46,636,713,826,582 : 64,360,688,147,726 = 25,826,428,502,564 : x - Step 2: Convert to fraction form
46,636,713,826,582/64,360,688,147,726 = 25,826,428,502,564/x - Step 3: Cross multiply
46,636,713,826,582x = 64,360,688,147,726 × 25,826,428,502,564 - Step 4: Simplify right side
46,636,713,826,582x = 1,662,206,710,823,063,658,457,726,976 - Step 5: Solve for x
x = 1,662,206,710,823,063,658,457,726,976/46,636,713,826,582 - Step 6: Final answer
x = 35,641,591,665,398.15
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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.