Finding the Fourth Proportional to 712,880,548,680.16, 1,069,760,655,126 and 330,353,323,281
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Solution
The fourth proportional to 712,880,548,680.16, 1,069,760,655,126 and 330,353,323,281 is: 495,733,805,881.54
Step by Step Solution
- Step 1: Write the proportion equation
712,880,548,680.16 : 1,069,760,655,126 = 330,353,323,281 : x - Step 2: Convert to fraction form
712,880,548,680.16/1,069,760,655,126 = 330,353,323,281/x - Step 3: Cross multiply
712,880,548,680.16x = 1,069,760,655,126 × 330,353,323,281 - Step 4: Simplify right side
712,880,548,680.16x = 353,398,987,536,133,831,786,496 - Step 5: Solve for x
x = 353,398,987,536,133,831,786,496/712,880,548,680.16 - Step 6: Final answer
x = 495,733,805,881.54
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.