Finding the Fourth Proportional to 137,905,506,643.80, 206,858,259,965.70 and 137,905,506,643.80
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Solution
The fourth proportional to 137,905,506,643.80, 206,858,259,965.70 and 137,905,506,643.80 is: 206,858,259,965.70
Step by Step Solution
- Step 1: Write the proportion equation
137,905,506,643.80 : 206,858,259,965.70 = 137,905,506,643.80 : x - Step 2: Convert to fraction form
137,905,506,643.80/206,858,259,965.70 = 137,905,506,643.80/x - Step 3: Cross multiply
137,905,506,643.80x = 206,858,259,965.70 × 137,905,506,643.80 - Step 4: Simplify right side
137,905,506,643.80x = 28,526,893,144,024,746,557,440 - Step 5: Solve for x
x = 28,526,893,144,024,746,557,440/137,905,506,643.80 - Step 6: Final answer
x = 206,858,259,965.70
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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.