Finding the Fourth Proportional to 69,735,835,365,070, 96,238,376,457,702 and 40,105,588,966,148
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Solution
The fourth proportional to 69,735,835,365,070, 96,238,376,457,702 and 40,105,588,966,148 is: 55,347,394,188,028.83
Step by Step Solution
- Step 1: Write the proportion equation
69,735,835,365,070 : 96,238,376,457,702 = 40,105,588,966,148 : x - Step 2: Convert to fraction form
69,735,835,365,070/96,238,376,457,702 = 40,105,588,966,148/x - Step 3: Cross multiply
69,735,835,365,070x = 96,238,376,457,702 × 40,105,588,966,148 - Step 4: Simplify right side
69,735,835,365,070x = 3,859,696,768,982,010,679,647,010,816 - Step 5: Solve for x
x = 3,859,696,768,982,010,679,647,010,816/69,735,835,365,070 - Step 6: Final answer
x = 55,347,394,188,028.83
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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.