Finding the Fourth Proportional to 1,567,263,710.65, 2,351,235,688.41 and 476,718,435.13
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Solution
The fourth proportional to 1,567,263,710.65, 2,351,235,688.41 and 476,718,435.13 is: 715,181,108.57
Step by Step Solution
- Step 1: Write the proportion equation
1,567,263,710.65 : 2,351,235,688.41 = 476,718,435.13 : x - Step 2: Convert to fraction form
1,567,263,710.65/2,351,235,688.41 = 476,718,435.13/x - Step 3: Cross multiply
1,567,263,710.65x = 2,351,235,688.41 × 476,718,435.13 - Step 4: Simplify right side
1,567,263,710.65x = 1,120,877,398,000,623,360 - Step 5: Solve for x
x = 1,120,877,398,000,623,360/1,567,263,710.65 - Step 6: Final answer
x = 715,181,108.57
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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.