Finding the Fourth Proportional to 29,232,781,546.78, 40,340,158,315.68 and 15,866,487,698.14
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Solution
The fourth proportional to 29,232,781,546.78, 40,340,158,315.68 and 15,866,487,698.14 is: 21,895,166,720.02
Step by Step Solution
- Step 1: Write the proportion equation
29,232,781,546.78 : 40,340,158,315.68 = 15,866,487,698.14 : x - Step 2: Convert to fraction form
29,232,781,546.78/40,340,158,315.68 = 15,866,487,698.14/x - Step 3: Cross multiply
29,232,781,546.78x = 40,340,158,315.68 × 15,866,487,698.14 - Step 4: Simplify right side
29,232,781,546.78x = 640,056,625,656,756,699,136 - Step 5: Solve for x
x = 640,056,625,656,756,699,136/29,232,781,546.78 - Step 6: Final answer
x = 21,895,166,720.02
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1.5x scale
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.