Finding the Fourth Proportional to 194,076,735,645.22, 292,439,820,156.66 and 159,479,117,404.18
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Solution
The fourth proportional to 194,076,735,645.22, 292,439,820,156.66 and 159,479,117,404.18 is: 240,307,238,564.02
Step by Step Solution
- Step 1: Write the proportion equation
194,076,735,645.22 : 292,439,820,156.66 = 159,479,117,404.18 : x - Step 2: Convert to fraction form
194,076,735,645.22/292,439,820,156.66 = 159,479,117,404.18/x - Step 3: Cross multiply
194,076,735,645.22x = 292,439,820,156.66 × 159,479,117,404.18 - Step 4: Simplify right side
194,076,735,645.22x = 46,638,044,412,421,255,200,768 - Step 5: Solve for x
x = 46,638,044,412,421,255,200,768/194,076,735,645.22 - Step 6: Final answer
x = 240,307,238,564.02
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Why These Related Problems?
These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.