Finding the Fourth Proportional to 118,201,623,159.76, 177,479,356,755.04 and 102,315,230,774.64
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Solution
The fourth proportional to 118,201,623,159.76, 177,479,356,755.04 and 102,315,230,774.64 is: 153,625,989,717.45
Step by Step Solution
- Step 1: Write the proportion equation
118,201,623,159.76 : 177,479,356,755.04 = 102,315,230,774.64 : x - Step 2: Convert to fraction form
118,201,623,159.76/177,479,356,755.04 = 102,315,230,774.64/x - Step 3: Cross multiply
118,201,623,159.76x = 177,479,356,755.04 × 102,315,230,774.64 - Step 4: Simplify right side
118,201,623,159.76x = 18,158,841,344,126,579,900,416 - Step 5: Solve for x
x = 18,158,841,344,126,579,900,416/118,201,623,159.76 - Step 6: Final answer
x = 153,625,989,717.45
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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.