Finding the Fourth Proportional to 3,146,750,989.76, 4,342,756,731.36 and 1,737,326,417.60
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Solution
The fourth proportional to 3,146,750,989.76, 4,342,756,731.36 and 1,737,326,417.60 is: 2,397,643,162.47
Step by Step Solution
- Step 1: Write the proportion equation
3,146,750,989.76 : 4,342,756,731.36 = 1,737,326,417.60 : x - Step 2: Convert to fraction form
3,146,750,989.76/4,342,756,731.36 = 1,737,326,417.60/x - Step 3: Cross multiply
3,146,750,989.76x = 4,342,756,731.36 × 1,737,326,417.60 - Step 4: Simplify right side
3,146,750,989.76x = 7,544,785,994,601,953,280 - Step 5: Solve for x
x = 7,544,785,994,601,953,280/3,146,750,989.76 - Step 6: Final answer
x = 2,397,643,162.47
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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.