Finding the Fourth Proportional to 1,964,929,476,889.90, 2,947,454,260,564.40 and 674,122,624,634.05
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Solution
The fourth proportional to 1,964,929,476,889.90, 2,947,454,260,564.40 and 674,122,624,634.05 is: 1,011,204,537,104.02
Step by Step Solution
- Step 1: Write the proportion equation
1,964,929,476,889.90 : 2,947,454,260,564.40 = 674,122,624,634.05 : x - Step 2: Convert to fraction form
1,964,929,476,889.90/2,947,454,260,564.40 = 674,122,624,634.05/x - Step 3: Cross multiply
1,964,929,476,889.90x = 2,947,454,260,564.40 × 674,122,624,634.05 - Step 4: Simplify right side
1,964,929,476,889.90x = 1,986,945,602,120,486,580,387,840 - Step 5: Solve for x
x = 1,986,945,602,120,486,580,387,840/1,964,929,476,889.90 - Step 6: Final answer
x = 1,011,204,537,104.02
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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.