Finding the Fourth Proportional to 1,687,095,742,325.20, 2,328,152,523,764.50 and 992,681,278,140.95
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Solution
The fourth proportional to 1,687,095,742,325.20, 2,328,152,523,764.50 and 992,681,278,140.95 is: 1,369,876,862,952.89
Step by Step Solution
- Step 1: Write the proportion equation
1,687,095,742,325.20 : 2,328,152,523,764.50 = 992,681,278,140.95 : x - Step 2: Convert to fraction form
1,687,095,742,325.20/2,328,152,523,764.50 = 992,681,278,140.95/x - Step 3: Cross multiply
1,687,095,742,325.20x = 2,328,152,523,764.50 × 992,681,278,140.95 - Step 4: Simplify right side
1,687,095,742,325.20x = 2,311,113,422,997,622,240,575,488 - Step 5: Solve for x
x = 2,311,113,422,997,622,240,575,488/1,687,095,742,325.20 - Step 6: Final answer
x = 1,369,876,862,952.89
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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.