Finding the Fourth Proportional to 304,260,395,620.17, 456,478,924,762.55 and 122,649,504,124.63
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Solution
The fourth proportional to 304,260,395,620.17, 456,478,924,762.55 and 122,649,504,124.63 is: 184,009,863,167.88
Step by Step Solution
- Step 1: Write the proportion equation
304,260,395,620.17 : 456,478,924,762.55 = 122,649,504,124.63 : x - Step 2: Convert to fraction form
304,260,395,620.17/456,478,924,762.55 = 122,649,504,124.63/x - Step 3: Cross multiply
304,260,395,620.17x = 456,478,924,762.55 × 122,649,504,124.63 - Step 4: Simplify right side
304,260,395,620.17x = 55,986,913,765,471,041,880,064 - Step 5: Solve for x
x = 55,986,913,765,471,041,880,064/304,260,395,620.17 - Step 6: Final answer
x = 184,009,863,167.88
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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.