Finding the Fourth Proportional to 1,516,706,974,403.10, 2,093,211,627,060.80 and 922,804,709,958.08
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Solution
The fourth proportional to 1,516,706,974,403.10, 2,093,211,627,060.80 and 922,804,709,958.08 is: 1,273,565,415,726.34
Step by Step Solution
- Step 1: Write the proportion equation
1,516,706,974,403.10 : 2,093,211,627,060.80 = 922,804,709,958.08 : x - Step 2: Convert to fraction form
1,516,706,974,403.10/2,093,211,627,060.80 = 922,804,709,958.08/x - Step 3: Cross multiply
1,516,706,974,403.10x = 2,093,211,627,060.80 × 922,804,709,958.08 - Step 4: Simplify right side
1,516,706,974,403.10x = 1,931,625,548,390,722,219,016,192 - Step 5: Solve for x
x = 1,931,625,548,390,722,219,016,192/1,516,706,974,403.10 - Step 6: Final answer
x = 1,273,565,415,726.34
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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.