Finding the Fourth Proportional to 2,834,088,474.81, 4,251,117,574.53 and 735,563,350.23
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Solution
The fourth proportional to 2,834,088,474.81, 4,251,117,574.53 and 735,563,350.23 is: 1,103,341,096.49
Step by Step Solution
- Step 1: Write the proportion equation
2,834,088,474.81 : 4,251,117,574.53 = 735,563,350.23 : x - Step 2: Convert to fraction form
2,834,088,474.81/4,251,117,574.53 = 735,563,350.23/x - Step 3: Cross multiply
2,834,088,474.81x = 4,251,117,574.53 × 735,563,350.23 - Step 4: Simplify right side
2,834,088,474.81x = 3,126,966,285,342,918,656 - Step 5: Solve for x
x = 3,126,966,285,342,918,656/2,834,088,474.81 - Step 6: Final answer
x = 1,103,341,096.49
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1.5x scale
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.