Finding the Fourth Proportional to 152,184,100, 228,228,198 and 49,924,308.64
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Solution
The fourth proportional to 152,184,100, 228,228,198 and 49,924,308.64 is: 74,870,732.21
Step by Step Solution
- Step 1: Write the proportion equation
152,184,100 : 228,228,198 = 49,924,308.64 : x - Step 2: Convert to fraction form
152,184,100/228,228,198 = 49,924,308.64/x - Step 3: Cross multiply
152,184,100x = 228,228,198 × 49,924,308.64 - Step 4: Simplify right side
152,184,100x = 11,394,134,997,303,030 - Step 5: Solve for x
x = 11,394,134,997,303,030/152,184,100 - Step 6: Final answer
x = 74,870,732.21
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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.