Finding the Fourth Proportional to 806,078,480,857.40, 1,209,287,534,694.30 and 261,484,455,471.94
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Solution
The fourth proportional to 806,078,480,857.40, 1,209,287,534,694.30 and 261,484,455,471.94 is: 392,281,769,117.82
Step by Step Solution
- Step 1: Write the proportion equation
806,078,480,857.40 : 1,209,287,534,694.30 = 261,484,455,471.94 : x - Step 2: Convert to fraction form
806,078,480,857.40/1,209,287,534,694.30 = 261,484,455,471.94/x - Step 3: Cross multiply
806,078,480,857.40x = 1,209,287,534,694.30 × 261,484,455,471.94 - Step 4: Simplify right side
806,078,480,857.40x = 316,209,892,518,543,786,770,432 - Step 5: Solve for x
x = 316,209,892,518,543,786,770,432/806,078,480,857.40 - Step 6: Final answer
x = 392,281,769,117.82
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.