Finding the Fourth Proportional to 99,691,708,847.80, 149,537,563,271.70 and 29,898,625,199.80
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Solution
The fourth proportional to 99,691,708,847.80, 149,537,563,271.70 and 29,898,625,199.80 is: 44,847,937,799.70
Step by Step Solution
- Step 1: Write the proportion equation
99,691,708,847.80 : 149,537,563,271.70 = 29,898,625,199.80 : x - Step 2: Convert to fraction form
99,691,708,847.80/149,537,563,271.70 = 29,898,625,199.80/x - Step 3: Cross multiply
99,691,708,847.80x = 149,537,563,271.70 × 29,898,625,199.80 - Step 4: Simplify right side
99,691,708,847.80x = 4,470,967,557,551,936,765,952 - Step 5: Solve for x
x = 4,470,967,557,551,936,765,952/99,691,708,847.80 - Step 6: Final answer
x = 44,847,937,799.70
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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.