Finding the Fourth Proportional to 208,457,023.98, 312,482,199.60 and 99,252,853.14
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Solution
The fourth proportional to 208,457,023.98, 312,482,199.60 and 99,252,853.14 is: 148,782,464.96
Step by Step Solution
- Step 1: Write the proportion equation
208,457,023.98 : 312,482,199.60 = 99,252,853.14 : x - Step 2: Convert to fraction form
208,457,023.98/312,482,199.60 = 99,252,853.14/x - Step 3: Cross multiply
208,457,023.98x = 312,482,199.60 × 99,252,853.14 - Step 4: Simplify right side
208,457,023.98x = 31,014,749,865,762,968 - Step 5: Solve for x
x = 31,014,749,865,762,968/208,457,023.98 - Step 6: Final answer
x = 148,782,464.96
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.