Finding the Fourth Proportional to 170,201,104,027.80, 255,301,656,041.70 and 100,544,069,275.80
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Solution
The fourth proportional to 170,201,104,027.80, 255,301,656,041.70 and 100,544,069,275.80 is: 150,816,103,913.70
Step by Step Solution
- Step 1: Write the proportion equation
170,201,104,027.80 : 255,301,656,041.70 = 100,544,069,275.80 : x - Step 2: Convert to fraction form
170,201,104,027.80/255,301,656,041.70 = 100,544,069,275.80/x - Step 3: Cross multiply
170,201,104,027.80x = 255,301,656,041.70 × 100,544,069,275.80 - Step 4: Simplify right side
170,201,104,027.80x = 25,669,067,391,283,148,881,920 - Step 5: Solve for x
x = 25,669,067,391,283,148,881,920/170,201,104,027.80 - Step 6: Final answer
x = 150,816,103,913.70
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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.