Finding the Fourth Proportional to 414,781,383,202.92, 572,490,392,147.10 and 252,166,475,539.08
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Solution
The fourth proportional to 414,781,383,202.92, 572,490,392,147.10 and 252,166,475,539.08 is: 348,045,718,332.29
Step by Step Solution
- Step 1: Write the proportion equation
414,781,383,202.92 : 572,490,392,147.10 = 252,166,475,539.08 : x - Step 2: Convert to fraction form
414,781,383,202.92/572,490,392,147.10 = 252,166,475,539.08/x - Step 3: Cross multiply
414,781,383,202.92x = 572,490,392,147.10 × 252,166,475,539.08 - Step 4: Simplify right side
414,781,383,202.92x = 144,362,884,467,719,994,867,712 - Step 5: Solve for x
x = 144,362,884,467,719,994,867,712/414,781,383,202.92 - Step 6: Final answer
x = 348,045,718,332.29
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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.