Finding the Fourth Proportional to 75,829,014,869.39, 104,593,641,867.12 and 48,766,523,380.70
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Solution
The fourth proportional to 75,829,014,869.39, 104,593,641,867.12 and 48,766,523,380.70 is: 67,265,390,304.37
Step by Step Solution
- Step 1: Write the proportion equation
75,829,014,869.39 : 104,593,641,867.12 = 48,766,523,380.70 : x - Step 2: Convert to fraction form
75,829,014,869.39/104,593,641,867.12 = 48,766,523,380.70/x - Step 3: Cross multiply
75,829,014,869.39x = 104,593,641,867.12 × 48,766,523,380.70 - Step 4: Simplify right side
75,829,014,869.39x = 5,100,668,281,585,260,298,240 - Step 5: Solve for x
x = 5,100,668,281,585,260,298,240/75,829,014,869.39 - Step 6: Final answer
x = 67,265,390,304.37
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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.