Finding the Fourth Proportional to 497,641,600,270.42, 746,496,110,541.42 and 174,905,176,620.11
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Solution
The fourth proportional to 497,641,600,270.42, 746,496,110,541.42 and 174,905,176,620.11 is: 262,369,612,969.50
Step by Step Solution
- Step 1: Write the proportion equation
497,641,600,270.42 : 746,496,110,541.42 = 174,905,176,620.11 : x - Step 2: Convert to fraction form
497,641,600,270.42/746,496,110,541.42 = 174,905,176,620.11/x - Step 3: Cross multiply
497,641,600,270.42x = 746,496,110,541.42 × 174,905,176,620.11 - Step 4: Simplify right side
497,641,600,270.42x = 130,566,034,060,472,221,696,000 - Step 5: Solve for x
x = 130,566,034,060,472,221,696,000/497,641,600,270.42 - Step 6: Final answer
x = 262,369,612,969.50
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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.