Finding the Fourth Proportional to 150,308,024,813.86, 207,425,894,260.82 and 88,511,290,610.99
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Solution
The fourth proportional to 150,308,024,813.86, 207,425,894,260.82 and 88,511,290,610.99 is: 122,146,063,923.73
Step by Step Solution
- Step 1: Write the proportion equation
150,308,024,813.86 : 207,425,894,260.82 = 88,511,290,610.99 : x - Step 2: Convert to fraction form
150,308,024,813.86/207,425,894,260.82 = 88,511,290,610.99/x - Step 3: Cross multiply
150,308,024,813.86x = 207,425,894,260.82 × 88,511,290,610.99 - Step 4: Simplify right side
150,308,024,813.86x = 18,359,533,607,162,885,439,488 - Step 5: Solve for x
x = 18,359,533,607,162,885,439,488/150,308,024,813.86 - Step 6: Final answer
x = 122,146,063,923.73
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.