Finding the Fourth Proportional to 75,503,316,891.58, 113,242,348,298.28 and 27,686,445,248.50
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Solution
The fourth proportional to 75,503,316,891.58, 113,242,348,298.28 and 27,686,445,248.50 is: 41,525,037,641.38
Step by Step Solution
- Step 1: Write the proportion equation
75,503,316,891.58 : 113,242,348,298.28 = 27,686,445,248.50 : x - Step 2: Convert to fraction form
75,503,316,891.58/113,242,348,298.28 = 27,686,445,248.50/x - Step 3: Cross multiply
75,503,316,891.58x = 113,242,348,298.28 × 27,686,445,248.50 - Step 4: Simplify right side
75,503,316,891.58x = 3,135,278,075,971,330,113,536 - Step 5: Solve for x
x = 3,135,278,075,971,330,113,536/75,503,316,891.58 - Step 6: Final answer
x = 41,525,037,641.38
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1.5x scale
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.