Finding the Fourth Proportional to 414,781,383,210.92, 572,490,392,158.16 and 252,166,475,547.08
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Solution
The fourth proportional to 414,781,383,210.92, 572,490,392,158.16 and 252,166,475,547.08 is: 348,045,718,343.34
Step by Step Solution
- Step 1: Write the proportion equation
414,781,383,210.92 : 572,490,392,158.16 = 252,166,475,547.08 : x - Step 2: Convert to fraction form
414,781,383,210.92/572,490,392,158.16 = 252,166,475,547.08/x - Step 3: Cross multiply
414,781,383,210.92x = 572,490,392,158.16 × 252,166,475,547.08 - Step 4: Simplify right side
414,781,383,210.92x = 144,362,884,475,088,900,456,448 - Step 5: Solve for x
x = 144,362,884,475,088,900,456,448/414,781,383,210.92 - Step 6: Final answer
x = 348,045,718,343.34
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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.