Finding the Fourth Proportional to 2,030,038,747,828.10, 3,046,310,612,368.60 and 940,732,703,625.30
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Solution
The fourth proportional to 2,030,038,747,828.10, 3,046,310,612,368.60 and 940,732,703,625.30 is: 1,411,679,467,459.42
Step by Step Solution
- Step 1: Write the proportion equation
2,030,038,747,828.10 : 3,046,310,612,368.60 = 940,732,703,625.30 : x - Step 2: Convert to fraction form
2,030,038,747,828.10/3,046,310,612,368.60 = 940,732,703,625.30/x - Step 3: Cross multiply
2,030,038,747,828.10x = 3,046,310,612,368.60 × 940,732,703,625.30 - Step 4: Simplify right side
2,030,038,747,828.10x = 2,865,764,018,455,956,395,393,024 - Step 5: Solve for x
x = 2,865,764,018,455,956,395,393,024/2,030,038,747,828.10 - Step 6: Final answer
x = 1,411,679,467,459.42
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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.