Finding the Fourth Proportional to 1,687,095,742,325.70, 2,328,152,523,765.30 and 992,681,278,141.42
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Solution
The fourth proportional to 1,687,095,742,325.70, 2,328,152,523,765.30 and 992,681,278,141.42 is: 1,369,876,862,953.60
Step by Step Solution
- Step 1: Write the proportion equation
1,687,095,742,325.70 : 2,328,152,523,765.30 = 992,681,278,141.42 : x - Step 2: Convert to fraction form
1,687,095,742,325.70/2,328,152,523,765.30 = 992,681,278,141.42/x - Step 3: Cross multiply
1,687,095,742,325.70x = 2,328,152,523,765.30 × 992,681,278,141.42 - Step 4: Simplify right side
1,687,095,742,325.70x = 2,311,113,422,999,510,684,008,448 - Step 5: Solve for x
x = 2,311,113,422,999,510,684,008,448/1,687,095,742,325.70 - Step 6: Final answer
x = 1,369,876,862,953.60
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.