Finding the Fourth Proportional to 175,652,629,193.93, 242,311,417,508.40 and 114,720,663,178.92
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Solution
The fourth proportional to 175,652,629,193.93, 242,311,417,508.40 and 114,720,663,178.92 is: 158,256,250,646.25
Step by Step Solution
- Step 1: Write the proportion equation
175,652,629,193.93 : 242,311,417,508.40 = 114,720,663,178.92 : x - Step 2: Convert to fraction form
175,652,629,193.93/242,311,417,508.40 = 114,720,663,178.92/x - Step 3: Cross multiply
175,652,629,193.93x = 242,311,417,508.40 × 114,720,663,178.92 - Step 4: Simplify right side
175,652,629,193.93x = 27,798,126,512,387,815,112,704 - Step 5: Solve for x
x = 27,798,126,512,387,815,112,704/175,652,629,193.93 - Step 6: Final answer
x = 158,256,250,646.25
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1.5x scale
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.