Finding the Fourth Proportional to 49,140,554,909,512, 67,788,255,664,668 and 30,384,154,283,948
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Solution
The fourth proportional to 49,140,554,909,512, 67,788,255,664,668 and 30,384,154,283,948 is: 41,914,236,063,221.51
Step by Step Solution
- Step 1: Write the proportion equation
49,140,554,909,512 : 67,788,255,664,668 = 30,384,154,283,948 : x - Step 2: Convert to fraction form
49,140,554,909,512/67,788,255,664,668 = 30,384,154,283,948/x - Step 3: Cross multiply
49,140,554,909,512x = 67,788,255,664,668 × 30,384,154,283,948 - Step 4: Simplify right side
49,140,554,909,512x = 2,059,688,818,754,984,533,622,259,712 - Step 5: Solve for x
x = 2,059,688,818,754,984,533,622,259,712/49,140,554,909,512 - Step 6: Final answer
x = 41,914,236,063,221.51
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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.