Finding the Fourth Proportional to 6,166,119,916.74, 8,509,251,782.72 and 3,346,728,423.76
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Solution
The fourth proportional to 6,166,119,916.74, 8,509,251,782.72 and 3,346,728,423.76 is: 4,618,488,642.89
Step by Step Solution
- Step 1: Write the proportion equation
6,166,119,916.74 : 8,509,251,782.72 = 3,346,728,423.76 : x - Step 2: Convert to fraction form
6,166,119,916.74/8,509,251,782.72 = 3,346,728,423.76/x - Step 3: Cross multiply
6,166,119,916.74x = 8,509,251,782.72 × 3,346,728,423.76 - Step 4: Simplify right side
6,166,119,916.74x = 28,478,154,806,159,478,784 - Step 5: Solve for x
x = 28,478,154,806,159,478,784/6,166,119,916.74 - Step 6: Final answer
x = 4,618,488,642.89
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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.