Finding the Fourth Proportional to 69,735,835,365,068, 96,238,376,457,700 and 40,105,588,966,146
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Solution
The fourth proportional to 69,735,835,365,068, 96,238,376,457,700 and 40,105,588,966,146 is: 55,347,394,188,026.51
Step by Step Solution
- Step 1: Write the proportion equation
69,735,835,365,068 : 96,238,376,457,700 = 40,105,588,966,146 : x - Step 2: Convert to fraction form
69,735,835,365,068/96,238,376,457,700 = 40,105,588,966,146/x - Step 3: Cross multiply
69,735,835,365,068x = 96,238,376,457,700 × 40,105,588,966,146 - Step 4: Simplify right side
69,735,835,365,068x = 3,859,696,768,981,738,000,763,322,368 - Step 5: Solve for x
x = 3,859,696,768,981,738,000,763,322,368/69,735,835,365,068 - Step 6: Final answer
x = 55,347,394,188,026.51
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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.