Finding the Fourth Proportional to 16,177,612,329,531, 24,263,966,632,338 and 4,402,936,016,175.20
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Solution
The fourth proportional to 16,177,612,329,531, 24,263,966,632,338 and 4,402,936,016,175.20 is: 6,603,736,719,897.74
Step by Step Solution
- Step 1: Write the proportion equation
16,177,612,329,531 : 24,263,966,632,338 = 4,402,936,016,175.20 : x - Step 2: Convert to fraction form
16,177,612,329,531/24,263,966,632,338 = 4,402,936,016,175.20/x - Step 3: Cross multiply
16,177,612,329,531x = 24,263,966,632,338 × 4,402,936,016,175.20 - Step 4: Simplify right side
16,177,612,329,531x = 106,832,692,580,794,268,334,948,352 - Step 5: Solve for x
x = 106,832,692,580,794,268,334,948,352/16,177,612,329,531 - Step 6: Final answer
x = 6,603,736,719,897.74
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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.