Finding the Fourth Proportional to 1,170,020,689,936.70, 1,614,641,641,784.30 and 649,185,538,842
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Solution
The fourth proportional to 1,170,020,689,936.70, 1,614,641,641,784.30 and 649,185,538,842 is: 895,883,306,401.34
Step by Step Solution
- Step 1: Write the proportion equation
1,170,020,689,936.70 : 1,614,641,641,784.30 = 649,185,538,842 : x - Step 2: Convert to fraction form
1,170,020,689,936.70/1,614,641,641,784.30 = 649,185,538,842/x - Step 3: Cross multiply
1,170,020,689,936.70x = 1,614,641,641,784.30 × 649,185,538,842 - Step 4: Simplify right side
1,170,020,689,936.70x = 1,048,202,004,258,472,356,478,976 - Step 5: Solve for x
x = 1,048,202,004,258,472,356,478,976/1,170,020,689,936.70 - Step 6: Final answer
x = 895,883,306,401.34
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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.