Finding the Fourth Proportional to 4,271,267,492.16, 5,894,396,288.64 and 2,366,058,148.80
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Solution
The fourth proportional to 4,271,267,492.16, 5,894,396,288.64 and 2,366,058,148.80 is: 3,265,186,363.67
Step by Step Solution
- Step 1: Write the proportion equation
4,271,267,492.16 : 5,894,396,288.64 = 2,366,058,148.80 : x - Step 2: Convert to fraction form
4,271,267,492.16/5,894,396,288.64 = 2,366,058,148.80/x - Step 3: Cross multiply
4,271,267,492.16x = 5,894,396,288.64 × 2,366,058,148.80 - Step 4: Simplify right side
4,271,267,492.16x = 13,946,484,370,993,149,952 - Step 5: Solve for x
x = 13,946,484,370,993,149,952/4,271,267,492.16 - Step 6: Final answer
x = 3,265,186,363.67
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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.