Finding the Fourth Proportional to 242,417,175,640.19, 363,626,113,427.97 and 98,996,203,882.99
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Solution
The fourth proportional to 242,417,175,640.19, 363,626,113,427.97 and 98,996,203,882.99 is: 148,494,448,741.22
Step by Step Solution
- Step 1: Write the proportion equation
242,417,175,640.19 : 363,626,113,427.97 = 98,996,203,882.99 : x - Step 2: Convert to fraction form
242,417,175,640.19/363,626,113,427.97 = 98,996,203,882.99/x - Step 3: Cross multiply
242,417,175,640.19x = 363,626,113,427.97 × 98,996,203,882.99 - Step 4: Simplify right side
242,417,175,640.19x = 35,997,604,862,094,565,441,536 - Step 5: Solve for x
x = 35,997,604,862,094,565,441,536/242,417,175,640.19 - Step 6: Final answer
x = 148,494,448,741.22
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1.5x scale
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.