Finding the Fourth Proportional to 100,316,734,076.37, 138,437,115,622.70 and 55,206,460,888.23
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Solution
The fourth proportional to 100,316,734,076.37, 138,437,115,622.70 and 55,206,460,888.23 is: 76,184,928,461.54
Step by Step Solution
- Step 1: Write the proportion equation
100,316,734,076.37 : 138,437,115,622.70 = 55,206,460,888.23 : x - Step 2: Convert to fraction form
100,316,734,076.37/138,437,115,622.70 = 55,206,460,888.23/x - Step 3: Cross multiply
100,316,734,076.37x = 138,437,115,622.70 × 55,206,460,888.23 - Step 4: Simplify right side
100,316,734,076.37x = 7,642,623,209,103,963,455,488 - Step 5: Solve for x
x = 7,642,623,209,103,963,455,488/100,316,734,076.37 - Step 6: Final answer
x = 76,184,928,461.54
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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.