Finding the Fourth Proportional to 268,779,296,243.16, 370,915,577,611.10 and 145,180,434,924
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Solution
The fourth proportional to 268,779,296,243.16, 370,915,577,611.10 and 145,180,434,924 is: 200,349,080,566.64
Step by Step Solution
- Step 1: Write the proportion equation
268,779,296,243.16 : 370,915,577,611.10 = 145,180,434,924 : x - Step 2: Convert to fraction form
268,779,296,243.16/370,915,577,611.10 = 145,180,434,924/x - Step 3: Cross multiply
268,779,296,243.16x = 370,915,577,611.10 × 145,180,434,924 - Step 4: Simplify right side
268,779,296,243.16x = 53,849,684,877,666,171,224,064 - Step 5: Solve for x
x = 53,849,684,877,666,171,224,064/268,779,296,243.16 - Step 6: Final answer
x = 200,349,080,566.64
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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.