Finding the Fourth Proportional to 4,787,285,566,472, 6,606,460,452,683.80 and 2,592,454,571,410.20
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Solution
The fourth proportional to 4,787,285,566,472, 6,606,460,452,683.80 and 2,592,454,571,410.20 is: 3,577,590,758,602.39
Step by Step Solution
- Step 1: Write the proportion equation
4,787,285,566,472 : 6,606,460,452,683.80 = 2,592,454,571,410.20 : x - Step 2: Convert to fraction form
4,787,285,566,472/6,606,460,452,683.80 = 2,592,454,571,410.20/x - Step 3: Cross multiply
4,787,285,566,472x = 6,606,460,452,683.80 × 2,592,454,571,410.20 - Step 4: Simplify right side
4,787,285,566,472x = 17,126,948,601,400,817,218,486,272 - Step 5: Solve for x
x = 17,126,948,601,400,817,218,486,272/4,787,285,566,472 - Step 6: Final answer
x = 3,577,590,758,602.39
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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.