Finding the Fourth Proportional to 847,729,232,109.10, 1,271,593,778,034.50 and 235,108,784,263.48
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Solution
The fourth proportional to 847,729,232,109.10, 1,271,593,778,034.50 and 235,108,784,263.48 is: 352,663,156,945.64
Step by Step Solution
- Step 1: Write the proportion equation
847,729,232,109.10 : 1,271,593,778,034.50 = 235,108,784,263.48 : x - Step 2: Convert to fraction form
847,729,232,109.10/1,271,593,778,034.50 = 235,108,784,263.48/x - Step 3: Cross multiply
847,729,232,109.10x = 1,271,593,778,034.50 × 235,108,784,263.48 - Step 4: Simplify right side
847,729,232,109.10x = 298,962,867,230,696,747,827,200 - Step 5: Solve for x
x = 298,962,867,230,696,747,827,200/847,729,232,109.10 - Step 6: Final answer
x = 352,663,156,945.64
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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.