Finding the Fourth Proportional to 175,652,629,193.76, 242,311,417,508.16 and 114,720,663,178.73
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Solution
The fourth proportional to 175,652,629,193.76, 242,311,417,508.16 and 114,720,663,178.73 is: 158,256,250,645.99
Step by Step Solution
- Step 1: Write the proportion equation
175,652,629,193.76 : 242,311,417,508.16 = 114,720,663,178.73 : x - Step 2: Convert to fraction form
175,652,629,193.76/242,311,417,508.16 = 114,720,663,178.73/x - Step 3: Cross multiply
175,652,629,193.76x = 242,311,417,508.16 × 114,720,663,178.73 - Step 4: Simplify right side
175,652,629,193.76x = 27,798,126,512,314,242,826,240 - Step 5: Solve for x
x = 27,798,126,512,314,242,826,240/175,652,629,193.76 - Step 6: Final answer
x = 158,256,250,645.99
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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.