Finding the Fourth Proportional to 566,158,215,476.92, 849,237,333,105.06 and 135,895,300,205.46
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Solution
The fourth proportional to 566,158,215,476.92, 849,237,333,105.06 and 135,895,300,205.46 is: 203,842,952,682.02
Step by Step Solution
- Step 1: Write the proportion equation
566,158,215,476.92 : 849,237,333,105.06 = 135,895,300,205.46 : x - Step 2: Convert to fraction form
566,158,215,476.92/849,237,333,105.06 = 135,895,300,205.46/x - Step 3: Cross multiply
566,158,215,476.92x = 849,237,333,105.06 × 135,895,300,205.46 - Step 4: Simplify right side
566,158,215,476.92x = 115,407,362,327,996,375,498,752 - Step 5: Solve for x
x = 115,407,362,327,996,375,498,752/566,158,215,476.92 - Step 6: Final answer
x = 203,842,952,682.02
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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.