Finding the Fourth Proportional to 1,809,822,037,275.90, 2,715,011,998,675.80 and 617,062,829,381.84
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Solution
The fourth proportional to 1,809,822,037,275.90, 2,715,011,998,675.80 and 617,062,829,381.84 is: 925,689,350,224.85
Step by Step Solution
- Step 1: Write the proportion equation
1,809,822,037,275.90 : 2,715,011,998,675.80 = 617,062,829,381.84 : x - Step 2: Convert to fraction form
1,809,822,037,275.90/2,715,011,998,675.80 = 617,062,829,381.84/x - Step 3: Cross multiply
1,809,822,037,275.90x = 2,715,011,998,675.80 × 617,062,829,381.84 - Step 4: Simplify right side
1,809,822,037,275.90x = 1,675,332,985,708,533,400,993,792 - Step 5: Solve for x
x = 1,675,332,985,708,533,400,993,792/1,809,822,037,275.90 - Step 6: Final answer
x = 925,689,350,224.85
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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.