Finding the Fourth Proportional to 736,430,940,873.40, 1,016,127,305,485.50 and 411,220,194,222.41
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Solution
The fourth proportional to 736,430,940,873.40, 1,016,127,305,485.50 and 411,220,194,222.41 is: 567,401,564,389.56
Step by Step Solution
- Step 1: Write the proportion equation
736,430,940,873.40 : 1,016,127,305,485.50 = 411,220,194,222.41 : x - Step 2: Convert to fraction form
736,430,940,873.40/1,016,127,305,485.50 = 411,220,194,222.41/x - Step 3: Cross multiply
736,430,940,873.40x = 1,016,127,305,485.50 × 411,220,194,222.41 - Step 4: Simplify right side
736,430,940,873.40x = 417,852,067,916,441,408,503,808 - Step 5: Solve for x
x = 417,852,067,916,441,408,503,808/736,430,940,873.40 - Step 6: Final answer
x = 567,401,564,389.56
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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.