Finding the Fourth Proportional to 274,376,944,903.74, 411,519,768,560.73 and 83,103,506,468.70
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Solution
The fourth proportional to 274,376,944,903.74, 411,519,768,560.73 and 83,103,506,468.70 is: 124,641,433,559.89
Step by Step Solution
- Step 1: Write the proportion equation
274,376,944,903.74 : 411,519,768,560.73 = 83,103,506,468.70 : x - Step 2: Convert to fraction form
274,376,944,903.74/411,519,768,560.73 = 83,103,506,468.70/x - Step 3: Cross multiply
274,376,944,903.74x = 411,519,768,560.73 × 83,103,506,468.70 - Step 4: Simplify right side
274,376,944,903.74x = 34,198,735,748,584,550,957,056 - Step 5: Solve for x
x = 34,198,735,748,584,550,957,056/274,376,944,903.74 - Step 6: Final answer
x = 124,641,433,559.89
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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.