Finding the Fourth Proportional to 1,610,205,748.80, 2,414,458,317.60 and 689,041,348.80
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Solution
The fourth proportional to 1,610,205,748.80, 2,414,458,317.60 and 689,041,348.80 is: 1,033,198,159.32
Step by Step Solution
- Step 1: Write the proportion equation
1,610,205,748.80 : 2,414,458,317.60 = 689,041,348.80 : x - Step 2: Convert to fraction form
1,610,205,748.80/2,414,458,317.60 = 689,041,348.80/x - Step 3: Cross multiply
1,610,205,748.80x = 2,414,458,317.60 × 689,041,348.80 - Step 4: Simplify right side
1,610,205,748.80x = 1,663,661,615,780,482,560 - Step 5: Solve for x
x = 1,663,661,615,780,482,560/1,610,205,748.80 - Step 6: Final answer
x = 1,033,198,159.32
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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.