Finding the Fourth Proportional to 2,030,038,750,075.30, 3,046,310,615,757.60 and 940,732,705,872.45
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Solution
The fourth proportional to 2,030,038,750,075.30, 3,046,310,615,757.60 and 940,732,705,872.45 is: 1,411,679,470,839.32
Step by Step Solution
- Step 1: Write the proportion equation
2,030,038,750,075.30 : 3,046,310,615,757.60 = 940,732,705,872.45 : x - Step 2: Convert to fraction form
2,030,038,750,075.30/3,046,310,615,757.60 = 940,732,705,872.45/x - Step 3: Cross multiply
2,030,038,750,075.30x = 3,046,310,615,757.60 × 940,732,705,872.45 - Step 4: Simplify right side
2,030,038,750,075.30x = 2,865,764,028,489,616,326,656,000 - Step 5: Solve for x
x = 2,865,764,028,489,616,326,656,000/2,030,038,750,075.30 - Step 6: Final answer
x = 1,411,679,470,839.32
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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.