Finding the Fourth Proportional to 430,412,746,899.34, 593,966,060,843.39 and 235,096,153,341.09
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Solution
The fourth proportional to 430,412,746,899.34, 593,966,060,843.39 and 235,096,153,341.09 is: 324,430,763,552.87
Step by Step Solution
- Step 1: Write the proportion equation
430,412,746,899.34 : 593,966,060,843.39 = 235,096,153,341.09 : x - Step 2: Convert to fraction form
430,412,746,899.34/593,966,060,843.39 = 235,096,153,341.09/x - Step 3: Cross multiply
430,412,746,899.34x = 593,966,060,843.39 × 235,096,153,341.09 - Step 4: Simplify right side
430,412,746,899.34x = 139,639,136,119,440,810,180,608 - Step 5: Solve for x
x = 139,639,136,119,440,810,180,608/430,412,746,899.34 - Step 6: Final answer
x = 324,430,763,552.87
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1.5x scale
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.