Finding the Fourth Proportional to 194,254,513,610.75, 268,053,238,894.67 and 107,445,214,965.99
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Solution
The fourth proportional to 194,254,513,610.75, 268,053,238,894.67 and 107,445,214,965.99 is: 148,264,446,164.07
Step by Step Solution
- Step 1: Write the proportion equation
194,254,513,610.75 : 268,053,238,894.67 = 107,445,214,965.99 : x - Step 2: Convert to fraction form
194,254,513,610.75/268,053,238,894.67 = 107,445,214,965.99/x - Step 3: Cross multiply
194,254,513,610.75x = 268,053,238,894.67 × 107,445,214,965.99 - Step 4: Simplify right side
194,254,513,610.75x = 28,801,037,875,367,693,516,800 - Step 5: Solve for x
x = 28,801,037,875,367,693,516,800/194,254,513,610.75 - Step 6: Final answer
x = 148,264,446,164.07
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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.