Finding the Fourth Proportional to 46,636,713,826,590, 64,360,688,147,736 and 25,826,428,502,574
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Solution
The fourth proportional to 46,636,713,826,590, 64,360,688,147,736 and 25,826,428,502,574 is: 35,641,591,665,411.38
Step by Step Solution
- Step 1: Write the proportion equation
46,636,713,826,590 : 64,360,688,147,736 = 25,826,428,502,574 : x - Step 2: Convert to fraction form
46,636,713,826,590/64,360,688,147,736 = 25,826,428,502,574/x - Step 3: Cross multiply
46,636,713,826,590x = 64,360,688,147,736 × 25,826,428,502,574 - Step 4: Simplify right side
46,636,713,826,590x = 1,662,206,710,823,965,532,870,410,240 - Step 5: Solve for x
x = 1,662,206,710,823,965,532,870,410,240/46,636,713,826,590 - Step 6: Final answer
x = 35,641,591,665,411.38
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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.