Finding the Fourth Proportional to 443,329,647,593.07, 664,927,280,809.14 and 120,657,605,642.08
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Solution
The fourth proportional to 443,329,647,593.07, 664,927,280,809.14 and 120,657,605,642.08 is: 180,968,121,721.86
Step by Step Solution
- Step 1: Write the proportion equation
443,329,647,593.07 : 664,927,280,809.14 = 120,657,605,642.08 : x - Step 2: Convert to fraction form
443,329,647,593.07/664,927,280,809.14 = 120,657,605,642.08/x - Step 3: Cross multiply
443,329,647,593.07x = 664,927,280,809.14 × 120,657,605,642.08 - Step 4: Simplify right side
443,329,647,593.07x = 80,228,533,628,529,803,264,000 - Step 5: Solve for x
x = 80,228,533,628,529,803,264,000/443,329,647,593.07 - Step 6: Final answer
x = 180,968,121,721.86
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1.5x scale
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.