Finding the Fourth Proportional to 46,636,713,826,600, 64,360,688,147,744 and 25,826,428,502,582
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Solution
The fourth proportional to 46,636,713,826,600, 64,360,688,147,744 and 25,826,428,502,582 is: 35,641,591,665,419.20
Step by Step Solution
- Step 1: Write the proportion equation
46,636,713,826,600 : 64,360,688,147,744 = 25,826,428,502,582 : x - Step 2: Convert to fraction form
46,636,713,826,600/64,360,688,147,744 = 25,826,428,502,582/x - Step 3: Cross multiply
46,636,713,826,600x = 64,360,688,147,744 × 25,826,428,502,582 - Step 4: Simplify right side
46,636,713,826,600x = 1,662,206,710,824,687,087,376,138,240 - Step 5: Solve for x
x = 1,662,206,710,824,687,087,376,138,240/46,636,713,826,600 - Step 6: Final answer
x = 35,641,591,665,419.20
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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.