Finding the Fourth Proportional to 2,560,159,893,657.40, 3,840,465,597,927.70 and 722,314,656,622.10
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Solution
The fourth proportional to 2,560,159,893,657.40, 3,840,465,597,927.70 and 722,314,656,622.10 is: 1,083,535,679,356.81
Step by Step Solution
- Step 1: Write the proportion equation
2,560,159,893,657.40 : 3,840,465,597,927.70 = 722,314,656,622.10 : x - Step 2: Convert to fraction form
2,560,159,893,657.40/3,840,465,597,927.70 = 722,314,656,622.10/x - Step 3: Cross multiply
2,560,159,893,657.40x = 3,840,465,597,927.70 × 722,314,656,622.10 - Step 4: Simplify right side
2,560,159,893,657.40x = 2,774,024,589,636,134,454,165,504 - Step 5: Solve for x
x = 2,774,024,589,636,134,454,165,504/2,560,159,893,657.40 - Step 6: Final answer
x = 1,083,535,679,356.81
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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.