Finding the Fourth Proportional to 736,430,940,831.09, 1,016,127,305,426.90 and 411,220,194,180.02
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Solution
The fourth proportional to 736,430,940,831.09, 1,016,127,305,426.90 and 411,220,194,180.02 is: 567,401,564,330.95
Step by Step Solution
- Step 1: Write the proportion equation
736,430,940,831.09 : 1,016,127,305,426.90 = 411,220,194,180.02 : x - Step 2: Convert to fraction form
736,430,940,831.09/1,016,127,305,426.90 = 411,220,194,180.02/x - Step 3: Cross multiply
736,430,940,831.09x = 1,016,127,305,426.90 × 411,220,194,180.02 - Step 4: Simplify right side
736,430,940,831.09x = 417,852,067,849,270,334,586,880 - Step 5: Solve for x
x = 417,852,067,849,270,334,586,880/736,430,940,831.09 - Step 6: Final answer
x = 567,401,564,330.95
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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.