Finding the Fourth Proportional to 16,263,303,554,290, 24,398,174,920,656 and 4,646,303,742,196.40
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Solution
The fourth proportional to 16,263,303,554,290, 24,398,174,920,656 and 4,646,303,742,196.40 is: 6,970,375,425,766.65
Step by Step Solution
- Step 1: Write the proportion equation
16,263,303,554,290 : 24,398,174,920,656 = 4,646,303,742,196.40 : x - Step 2: Convert to fraction form
16,263,303,554,290/24,398,174,920,656 = 4,646,303,742,196.40/x - Step 3: Cross multiply
16,263,303,554,290x = 24,398,174,920,656 × 4,646,303,742,196.40 - Step 4: Simplify right side
16,263,303,554,290x = 113,361,331,436,606,341,722,931,200 - Step 5: Solve for x
x = 113,361,331,436,606,341,722,931,200/16,263,303,554,290 - Step 6: Final answer
x = 6,970,375,425,766.65
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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.