Finding the Fourth Proportional to 46,636,713,834,866, 64,360,688,159,162 and 25,826,428,510,846
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Solution
The fourth proportional to 46,636,713,834,866, 64,360,688,159,162 and 25,826,428,510,846 is: 35,641,591,676,829.73
Step by Step Solution
- Step 1: Write the proportion equation
46,636,713,834,866 : 64,360,688,159,162 = 25,826,428,510,846 : x - Step 2: Convert to fraction form
46,636,713,834,866/64,360,688,159,162 = 25,826,428,510,846/x - Step 3: Cross multiply
46,636,713,834,866x = 64,360,688,159,162 × 25,826,428,510,846 - Step 4: Simplify right side
46,636,713,834,866x = 1,662,206,711,651,450,012,475,326,464 - Step 5: Solve for x
x = 1,662,206,711,651,450,012,475,326,464/46,636,713,834,866 - Step 6: Final answer
x = 35,641,591,676,829.73
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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.