Finding the Fourth Proportional to 176,218,132,609.58, 264,326,868,992.79 and 55,215,950,966.53
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Solution
The fourth proportional to 176,218,132,609.58, 264,326,868,992.79 and 55,215,950,966.53 is: 82,823,823,072.61
Step by Step Solution
- Step 1: Write the proportion equation
176,218,132,609.58 : 264,326,868,992.79 = 55,215,950,966.53 : x - Step 2: Convert to fraction form
176,218,132,609.58/264,326,868,992.79 = 55,215,950,966.53/x - Step 3: Cross multiply
176,218,132,609.58x = 264,326,868,992.79 × 55,215,950,966.53 - Step 4: Simplify right side
176,218,132,609.58x = 14,595,059,437,441,499,791,360 - Step 5: Solve for x
x = 14,595,059,437,441,499,791,360/176,218,132,609.58 - Step 6: Final answer
x = 82,823,823,072.61
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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.