Finding the Fourth Proportional to 106,587,975,645.24, 159,883,191,683.17 and 38,524,207,023.68
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Solution
The fourth proportional to 106,587,975,645.24, 159,883,191,683.17 and 38,524,207,023.68 is: 57,786,754,450.70
Step by Step Solution
- Step 1: Write the proportion equation
106,587,975,645.24 : 159,883,191,683.17 = 38,524,207,023.68 : x - Step 2: Convert to fraction form
106,587,975,645.24/159,883,191,683.17 = 38,524,207,023.68/x - Step 3: Cross multiply
106,587,975,645.24x = 159,883,191,683.17 × 38,524,207,023.68 - Step 4: Simplify right side
106,587,975,645.24x = 6,159,373,176,009,154,101,248 - Step 5: Solve for x
x = 6,159,373,176,009,154,101,248/106,587,975,645.24 - Step 6: Final answer
x = 57,786,754,450.70
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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.