Finding the Fourth Proportional to 880,598,144,887.36, 1,215,206,392,859 and 509,817,198,933.54
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Solution
The fourth proportional to 880,598,144,887.36, 1,215,206,392,859 and 509,817,198,933.54 is: 703,536,707,328.35
Step by Step Solution
- Step 1: Write the proportion equation
880,598,144,887.36 : 1,215,206,392,859 = 509,817,198,933.54 : x - Step 2: Convert to fraction form
880,598,144,887.36/1,215,206,392,859 = 509,817,198,933.54/x - Step 3: Cross multiply
880,598,144,887.36x = 1,215,206,392,859 × 509,817,198,933.54 - Step 4: Simplify right side
880,598,144,887.36x = 619,533,119,333,506,352,152,576 - Step 5: Solve for x
x = 619,533,119,333,506,352,152,576/880,598,144,887.36 - Step 6: Final answer
x = 703,536,707,328.35
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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.