Finding the Fourth Proportional to 2,120,257,543.60, 3,180,386,315.40 and 827,793,031.60
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Solution
The fourth proportional to 2,120,257,543.60, 3,180,386,315.40 and 827,793,031.60 is: 1,241,689,547.40
Step by Step Solution
- Step 1: Write the proportion equation
2,120,257,543.60 : 3,180,386,315.40 = 827,793,031.60 : x - Step 2: Convert to fraction form
2,120,257,543.60/3,180,386,315.40 = 827,793,031.60/x - Step 3: Cross multiply
2,120,257,543.60x = 3,180,386,315.40 × 827,793,031.60 - Step 4: Simplify right side
2,120,257,543.60x = 2,632,701,629,684,120,064 - Step 5: Solve for x
x = 2,632,701,629,684,120,064/2,120,257,543.60 - Step 6: Final answer
x = 1,241,689,547.40
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.