Finding the Fourth Proportional to 17,750,386,129.99, 24,496,302,858.35 and 9,829,789,465.99
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Solution
The fourth proportional to 17,750,386,129.99, 24,496,302,858.35 and 9,829,789,465.99 is: 13,565,535,872.25
Step by Step Solution
- Step 1: Write the proportion equation
17,750,386,129.99 : 24,496,302,858.35 = 9,829,789,465.99 : x - Step 2: Convert to fraction form
17,750,386,129.99/24,496,302,858.35 = 9,829,789,465.99/x - Step 3: Cross multiply
17,750,386,129.99x = 24,496,302,858.35 × 9,829,789,465.99 - Step 4: Simplify right side
17,750,386,129.99x = 240,793,499,792,709,550,080 - Step 5: Solve for x
x = 240,793,499,792,709,550,080/17,750,386,129.99 - Step 6: Final answer
x = 13,565,535,872.25
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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.