Finding the Fourth Proportional to 4,207,487,143,305, 6,312,182,373,284.70 and 2,271,262,465,467.20
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Solution
The fourth proportional to 4,207,487,143,305, 6,312,182,373,284.70 and 2,271,262,465,467.20 is: 3,407,407,417,141.56
Step by Step Solution
- Step 1: Write the proportion equation
4,207,487,143,305 : 6,312,182,373,284.70 = 2,271,262,465,467.20 : x - Step 2: Convert to fraction form
4,207,487,143,305/6,312,182,373,284.70 = 2,271,262,465,467.20/x - Step 3: Cross multiply
4,207,487,143,305x = 6,312,182,373,284.70 × 2,271,262,465,467.20 - Step 4: Simplify right side
4,207,487,143,305x = 14,336,622,899,625,210,436,124,672 - Step 5: Solve for x
x = 14,336,622,899,625,210,436,124,672/4,207,487,143,305 - Step 6: Final answer
x = 3,407,407,417,141.56
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.