Finding the Fourth Proportional to 30,571,275,507,126, 45,863,353,596,640 and 9,917,042,830,714
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Solution
The fourth proportional to 30,571,275,507,126, 45,863,353,596,640 and 9,917,042,830,714 is: 14,877,653,432,289.46
Step by Step Solution
- Step 1: Write the proportion equation
30,571,275,507,126 : 45,863,353,596,640 = 9,917,042,830,714 : x - Step 2: Convert to fraction form
30,571,275,507,126/45,863,353,596,640 = 9,917,042,830,714/x - Step 3: Cross multiply
30,571,275,507,126x = 45,863,353,596,640 × 9,917,042,830,714 - Step 4: Simplify right side
30,571,275,507,126x = 454,828,841,978,059,880,545,648,640 - Step 5: Solve for x
x = 454,828,841,978,059,880,545,648,640/30,571,275,507,126 - Step 6: Final answer
x = 14,877,653,432,289.46
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.