Finding the Fourth Proportional to 2,560,159,893,655.20, 3,840,465,597,925.10 and 722,314,656,620.20
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Solution
The fourth proportional to 2,560,159,893,655.20, 3,840,465,597,925.10 and 722,314,656,620.20 is: 1,083,535,679,354.16
Step by Step Solution
- Step 1: Write the proportion equation
2,560,159,893,655.20 : 3,840,465,597,925.10 = 722,314,656,620.20 : x - Step 2: Convert to fraction form
2,560,159,893,655.20/3,840,465,597,925.10 = 722,314,656,620.20/x - Step 3: Cross multiply
2,560,159,893,655.20x = 3,840,465,597,925.10 × 722,314,656,620.20 - Step 4: Simplify right side
2,560,159,893,655.20x = 2,774,024,589,626,959,330,279,424 - Step 5: Solve for x
x = 2,774,024,589,626,959,330,279,424/2,560,159,893,655.20 - Step 6: Final answer
x = 1,083,535,679,354.16
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.