Finding the Fourth Proportional to 2,409,378,304,339.20, 3,614,544,432,689.70 and 688,341,295,140.20
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Solution
The fourth proportional to 2,409,378,304,339.20, 3,614,544,432,689.70 and 688,341,295,140.20 is: 1,032,648,211,224.68
Step by Step Solution
- Step 1: Write the proportion equation
2,409,378,304,339.20 : 3,614,544,432,689.70 = 688,341,295,140.20 : x - Step 2: Convert to fraction form
2,409,378,304,339.20/3,614,544,432,689.70 = 688,341,295,140.20/x - Step 3: Cross multiply
2,409,378,304,339.20x = 3,614,544,432,689.70 × 688,341,295,140.20 - Step 4: Simplify right side
2,409,378,304,339.20x = 2,488,040,196,139,427,748,118,528 - Step 5: Solve for x
x = 2,488,040,196,139,427,748,118,528/2,409,378,304,339.20 - Step 6: Final answer
x = 1,032,648,211,224.68
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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.