Finding the Fourth Proportional to 4,700,176,597.86, 6,486,039,206.55 and 2,585,498,457.12
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Solution
The fourth proportional to 4,700,176,597.86, 6,486,039,206.55 and 2,585,498,457.12 is: 3,567,875,379.19
Step by Step Solution
- Step 1: Write the proportion equation
4,700,176,597.86 : 6,486,039,206.55 = 2,585,498,457.12 : x - Step 2: Convert to fraction form
4,700,176,597.86/6,486,039,206.55 = 2,585,498,457.12/x - Step 3: Cross multiply
4,700,176,597.86x = 6,486,039,206.55 × 2,585,498,457.12 - Step 4: Simplify right side
4,700,176,597.86x = 16,769,644,361,354,854,400 - Step 5: Solve for x
x = 16,769,644,361,354,854,400/4,700,176,597.86 - Step 6: Final answer
x = 3,567,875,379.19
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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.