Finding the Fourth Proportional to 1,170,020,689,932.70, 1,614,641,641,778.70 and 649,185,538,838
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Solution
The fourth proportional to 1,170,020,689,932.70, 1,614,641,641,778.70 and 649,185,538,838 is: 895,883,306,395.78
Step by Step Solution
- Step 1: Write the proportion equation
1,170,020,689,932.70 : 1,614,641,641,778.70 = 649,185,538,838 : x - Step 2: Convert to fraction form
1,170,020,689,932.70/1,614,641,641,778.70 = 649,185,538,838/x - Step 3: Cross multiply
1,170,020,689,932.70x = 1,614,641,641,778.70 × 649,185,538,838 - Step 4: Simplify right side
1,170,020,689,932.70x = 1,048,202,004,248,378,243,809,280 - Step 5: Solve for x
x = 1,048,202,004,248,378,243,809,280/1,170,020,689,932.70 - Step 6: Final answer
x = 895,883,306,395.78
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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.