Finding the Fourth Proportional to 542,633,460,950.96, 814,071,588,549.92 and 165,354,779,438
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Solution
The fourth proportional to 542,633,460,950.96, 814,071,588,549.92 and 165,354,779,438 is: 248,069,162,073.99
Step by Step Solution
- Step 1: Write the proportion equation
542,633,460,950.96 : 814,071,588,549.92 = 165,354,779,438 : x - Step 2: Convert to fraction form
542,633,460,950.96/814,071,588,549.92 = 165,354,779,438/x - Step 3: Cross multiply
542,633,460,950.96x = 814,071,588,549.92 × 165,354,779,438 - Step 4: Simplify right side
542,633,460,950.96x = 134,610,627,971,414,308,683,776 - Step 5: Solve for x
x = 134,610,627,971,414,308,683,776/542,633,460,950.96 - Step 6: Final answer
x = 248,069,162,073.99
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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.