Finding the Fourth Proportional to 1,465,345,830.90, 2,198,018,746.35 and 1,455,142,163.70
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Solution
The fourth proportional to 1,465,345,830.90, 2,198,018,746.35 and 1,455,142,163.70 is: 2,182,713,245.55
Step by Step Solution
- Step 1: Write the proportion equation
1,465,345,830.90 : 2,198,018,746.35 = 1,455,142,163.70 : x - Step 2: Convert to fraction form
1,465,345,830.90/2,198,018,746.35 = 1,455,142,163.70/x - Step 3: Cross multiply
1,465,345,830.90x = 2,198,018,746.35 × 1,455,142,163.70 - Step 4: Simplify right side
1,465,345,830.90x = 3,198,429,754,416,900,608 - Step 5: Solve for x
x = 3,198,429,754,416,900,608/1,465,345,830.90 - Step 6: Final answer
x = 2,182,713,245.55
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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.