Finding the Fourth Proportional to 107,291,051,567.70, 160,936,577,351.55 and 107,291,051,567.70
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Solution
The fourth proportional to 107,291,051,567.70, 160,936,577,351.55 and 107,291,051,567.70 is: 160,936,577,351.55
Step by Step Solution
- Step 1: Write the proportion equation
107,291,051,567.70 : 160,936,577,351.55 = 107,291,051,567.70 : x - Step 2: Convert to fraction form
107,291,051,567.70/160,936,577,351.55 = 107,291,051,567.70/x - Step 3: Cross multiply
107,291,051,567.70x = 160,936,577,351.55 × 107,291,051,567.70 - Step 4: Simplify right side
107,291,051,567.70x = 17,267,054,619,754,288,381,952 - Step 5: Solve for x
x = 17,267,054,619,754,288,381,952/107,291,051,567.70 - Step 6: Final answer
x = 160,936,577,351.55
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Double scale
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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.