Finding the Fourth Proportional to 75,676,610,719.71, 104,384,514,916.49 and 48,536,897,448.17
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Solution
The fourth proportional to 75,676,610,719.71, 104,384,514,916.49 and 48,536,897,448.17 is: 66,949,357,899.29
Step by Step Solution
- Step 1: Write the proportion equation
75,676,610,719.71 : 104,384,514,916.49 = 48,536,897,448.17 : x - Step 2: Convert to fraction form
75,676,610,719.71/104,384,514,916.49 = 48,536,897,448.17/x - Step 3: Cross multiply
75,676,610,719.71x = 104,384,514,916.49 × 48,536,897,448.17 - Step 4: Simplify right side
75,676,610,719.71x = 5,066,500,495,678,855,184,384 - Step 5: Solve for x
x = 5,066,500,495,678,855,184,384/75,676,610,719.71 - Step 6: Final answer
x = 66,949,357,899.29
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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.