Finding the Fourth Proportional to 8,188,613,677,423.40, 11,300,642,091,005 and 4,534,681,549,201
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Solution
The fourth proportional to 8,188,613,677,423.40, 11,300,642,091,005 and 4,534,681,549,201 is: 6,258,057,249,115.35
Step by Step Solution
- Step 1: Write the proportion equation
8,188,613,677,423.40 : 11,300,642,091,005 = 4,534,681,549,201 : x - Step 2: Convert to fraction form
8,188,613,677,423.40/11,300,642,091,005 = 4,534,681,549,201/x - Step 3: Cross multiply
8,188,613,677,423.40x = 11,300,642,091,005 × 4,534,681,549,201 - Step 4: Simplify right side
8,188,613,677,423.40x = 51,244,813,184,204,585,218,080,768 - Step 5: Solve for x
x = 51,244,813,184,204,585,218,080,768/8,188,613,677,423.40 - Step 6: Final answer
x = 6,258,057,249,115.35
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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.