Finding the Fourth Proportional to 22,465,332,446.41, 31,003,133,305.97 and 12,440,827,293.53
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Solution
The fourth proportional to 22,465,332,446.41, 31,003,133,305.97 and 12,440,827,293.53 is: 17,168,881,339.19
Step by Step Solution
- Step 1: Write the proportion equation
22,465,332,446.41 : 31,003,133,305.97 = 12,440,827,293.53 : x - Step 2: Convert to fraction form
22,465,332,446.41/31,003,133,305.97 = 12,440,827,293.53/x - Step 3: Cross multiply
22,465,332,446.41x = 31,003,133,305.97 × 12,440,827,293.53 - Step 4: Simplify right side
22,465,332,446.41x = 385,704,627,017,823,420,416 - Step 5: Solve for x
x = 385,704,627,017,823,420,416/22,465,332,446.41 - Step 6: Final answer
x = 17,168,881,339.19
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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.