Finding the Fourth Proportional to 175,402,942,718.64, 242,049,798,076.80 and 99,277,722,283.92
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Solution
The fourth proportional to 175,402,942,718.64, 242,049,798,076.80 and 99,277,722,283.92 is: 136,999,711,976.86
Step by Step Solution
- Step 1: Write the proportion equation
175,402,942,718.64 : 242,049,798,076.80 = 99,277,722,283.92 : x - Step 2: Convert to fraction form
175,402,942,718.64/242,049,798,076.80 = 99,277,722,283.92/x - Step 3: Cross multiply
175,402,942,718.64x = 242,049,798,076.80 × 99,277,722,283.92 - Step 4: Simplify right side
175,402,942,718.64x = 24,030,152,632,347,463,254,016 - Step 5: Solve for x
x = 24,030,152,632,347,463,254,016/175,402,942,718.64 - Step 6: Final answer
x = 136,999,711,976.86
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1.5x scale
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.