Finding the Fourth Proportional to 69,735,835,613,382, 96,238,376,799,450 and 40,105,589,214,072
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Solution
The fourth proportional to 69,735,835,613,382, 96,238,376,799,450 and 40,105,589,214,072 is: 55,347,394,529,637.79
Step by Step Solution
- Step 1: Write the proportion equation
69,735,835,613,382 : 96,238,376,799,450 = 40,105,589,214,072 : x - Step 2: Convert to fraction form
69,735,835,613,382/96,238,376,799,450 = 40,105,589,214,072/x - Step 3: Cross multiply
69,735,835,613,382x = 96,238,376,799,450 × 40,105,589,214,072 - Step 4: Simplify right side
69,735,835,613,382x = 3,859,696,806,547,818,851,369,746,432 - Step 5: Solve for x
x = 3,859,696,806,547,818,851,369,746,432/69,735,835,613,382 - Step 6: Final answer
x = 55,347,394,529,637.79
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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.