Finding the Fourth Proportional to 351,305,258,385.97, 484,622,835,014.15 and 229,441,326,355.93
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Solution
The fourth proportional to 351,305,258,385.97, 484,622,835,014.15 and 229,441,326,355.93 is: 316,512,501,289.84
Step by Step Solution
- Step 1: Write the proportion equation
351,305,258,385.97 : 484,622,835,014.15 = 229,441,326,355.93 : x - Step 2: Convert to fraction form
351,305,258,385.97/484,622,835,014.15 = 229,441,326,355.93/x - Step 3: Cross multiply
351,305,258,385.97x = 484,622,835,014.15 × 229,441,326,355.93 - Step 4: Simplify right side
351,305,258,385.97x = 111,192,506,048,017,604,804,608 - Step 5: Solve for x
x = 111,192,506,048,017,604,804,608/351,305,258,385.97 - Step 6: Final answer
x = 316,512,501,289.84
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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.