Finding the Fourth Proportional to 46,636,713,834,855, 64,360,688,159,148 and 25,826,428,510,834
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Solution
The fourth proportional to 46,636,713,834,855, 64,360,688,159,148 and 25,826,428,510,834 is: 35,641,591,676,813.83
Step by Step Solution
- Step 1: Write the proportion equation
46,636,713,834,855 : 64,360,688,159,148 = 25,826,428,510,834 : x - Step 2: Convert to fraction form
46,636,713,834,855/64,360,688,159,148 = 25,826,428,510,834/x - Step 3: Cross multiply
46,636,713,834,855x = 64,360,688,159,148 × 25,826,428,510,834 - Step 4: Simplify right side
46,636,713,834,855x = 1,662,206,711,650,316,141,109,182,464 - Step 5: Solve for x
x = 1,662,206,711,650,316,141,109,182,464/46,636,713,834,855 - Step 6: Final answer
x = 35,641,591,676,813.83
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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.