Finding the Fourth Proportional to 75,676,610,721.46, 104,384,514,918.90 and 48,536,897,449.92
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Solution
The fourth proportional to 75,676,610,721.46, 104,384,514,918.90 and 48,536,897,449.92 is: 66,949,357,901.70
Step by Step Solution
- Step 1: Write the proportion equation
75,676,610,721.46 : 104,384,514,918.90 = 48,536,897,449.92 : x - Step 2: Convert to fraction form
75,676,610,721.46/104,384,514,918.90 = 48,536,897,449.92/x - Step 3: Cross multiply
75,676,610,721.46x = 104,384,514,918.90 × 48,536,897,449.92 - Step 4: Simplify right side
75,676,610,721.46x = 5,066,500,495,978,292,838,400 - Step 5: Solve for x
x = 5,066,500,495,978,292,838,400/75,676,610,721.46 - Step 6: Final answer
x = 66,949,357,901.70
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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.