Finding the Fourth Proportional to 6,166,119,916.11, 8,509,251,781.85 and 3,346,728,423.13
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Solution
The fourth proportional to 6,166,119,916.11, 8,509,251,781.85 and 3,346,728,423.13 is: 4,618,488,642.02
Step by Step Solution
- Step 1: Write the proportion equation
6,166,119,916.11 : 8,509,251,781.85 = 3,346,728,423.13 : x - Step 2: Convert to fraction form
6,166,119,916.11/8,509,251,781.85 = 3,346,728,423.13/x - Step 3: Cross multiply
6,166,119,916.11x = 8,509,251,781.85 × 3,346,728,423.13 - Step 4: Simplify right side
6,166,119,916.11x = 28,478,154,797,901,402,112 - Step 5: Solve for x
x = 28,478,154,797,901,402,112/6,166,119,916.11 - Step 6: Final answer
x = 4,618,488,642.02
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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.