Finding the Fourth Proportional to 512,463,415.80, 768,620,474.10 and 148,919,863.80
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Solution
The fourth proportional to 512,463,415.80, 768,620,474.10 and 148,919,863.80 is: 223,358,102.82
Step by Step Solution
- Step 1: Write the proportion equation
512,463,415.80 : 768,620,474.10 = 148,919,863.80 : x - Step 2: Convert to fraction form
512,463,415.80/768,620,474.10 = 148,919,863.80/x - Step 3: Cross multiply
512,463,415.80x = 768,620,474.10 × 148,919,863.80 - Step 4: Simplify right side
512,463,415.80x = 114,462,856,316,863,440 - Step 5: Solve for x
x = 114,462,856,316,863,440/512,463,415.80 - Step 6: Final answer
x = 223,358,102.82
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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.