Finding the Fourth Proportional to 901,725,101,032.12, 1,244,381,440,033.70 and 495,739,549,745.08
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Solution
The fourth proportional to 901,725,101,032.12, 1,244,381,440,033.70 and 495,739,549,745.08 is: 684,121,018,797.58
Step by Step Solution
- Step 1: Write the proportion equation
901,725,101,032.12 : 1,244,381,440,033.70 = 495,739,549,745.08 : x - Step 2: Convert to fraction form
901,725,101,032.12/1,244,381,440,033.70 = 495,739,549,745.08/x - Step 3: Cross multiply
901,725,101,032.12x = 1,244,381,440,033.70 × 495,739,549,745.08 - Step 4: Simplify right side
901,725,101,032.12x = 616,889,094,793,440,645,873,664 - Step 5: Solve for x
x = 616,889,094,793,440,645,873,664/901,725,101,032.12 - Step 6: Final answer
x = 684,121,018,797.58
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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.