Finding the Fourth Proportional to 19,345,883,546,319, 29,022,900,841,306 and 6,275,626,937,321.40
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Solution
The fourth proportional to 19,345,883,546,319, 29,022,900,841,306 and 6,275,626,937,321.40 is: 9,414,762,467,830.71
Step by Step Solution
- Step 1: Write the proportion equation
19,345,883,546,319 : 29,022,900,841,306 = 6,275,626,937,321.40 : x - Step 2: Convert to fraction form
19,345,883,546,319/29,022,900,841,306 = 6,275,626,937,321.40/x - Step 3: Cross multiply
19,345,883,546,319x = 29,022,900,841,306 × 6,275,626,937,321.40 - Step 4: Simplify right side
19,345,883,546,319x = 182,136,898,318,907,850,484,613,120 - Step 5: Solve for x
x = 182,136,898,318,907,850,484,613,120/19,345,883,546,319 - Step 6: Final answer
x = 9,414,762,467,830.71
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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.