Finding the Fourth Proportional to 175,402,942,698.64, 242,049,798,049.28 and 99,277,722,263.92
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Solution
The fourth proportional to 175,402,942,698.64, 242,049,798,049.28 and 99,277,722,263.92 is: 136,999,711,949.31
Step by Step Solution
- Step 1: Write the proportion equation
175,402,942,698.64 : 242,049,798,049.28 = 99,277,722,263.92 : x - Step 2: Convert to fraction form
175,402,942,698.64/242,049,798,049.28 = 99,277,722,263.92/x - Step 3: Cross multiply
175,402,942,698.64x = 242,049,798,049.28 × 99,277,722,263.92 - Step 4: Simplify right side
175,402,942,698.64x = 24,030,152,624,774,345,392,128 - Step 5: Solve for x
x = 24,030,152,624,774,345,392,128/175,402,942,698.64 - Step 6: Final answer
x = 136,999,711,949.31
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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.