Finding the Fourth Proportional to 3,163,745,326.14, 4,746,539,457.11 and 1,416,539,455.08
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Solution
The fourth proportional to 3,163,745,326.14, 4,746,539,457.11 and 1,416,539,455.08 is: 2,125,221,761.86
Step by Step Solution
- Step 1: Write the proportion equation
3,163,745,326.14 : 4,746,539,457.11 = 1,416,539,455.08 : x - Step 2: Convert to fraction form
3,163,745,326.14/4,746,539,457.11 = 1,416,539,455.08/x - Step 3: Cross multiply
3,163,745,326.14x = 4,746,539,457.11 × 1,416,539,455.08 - Step 4: Simplify right side
3,163,745,326.14x = 6,723,660,416,101,873,664 - Step 5: Solve for x
x = 6,723,660,416,101,873,664/3,163,745,326.14 - Step 6: Final answer
x = 2,125,221,761.86
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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.