Finding the Fourth Proportional to 1,702,319,103.16, 2,553,387,852.74 and 458,729,600.84
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Solution
The fourth proportional to 1,702,319,103.16, 2,553,387,852.74 and 458,729,600.84 is: 688,069,932.54
Step by Step Solution
- Step 1: Write the proportion equation
1,702,319,103.16 : 2,553,387,852.74 = 458,729,600.84 : x - Step 2: Convert to fraction form
1,702,319,103.16/2,553,387,852.74 = 458,729,600.84/x - Step 3: Cross multiply
1,702,319,103.16x = 2,553,387,852.74 × 458,729,600.84 - Step 4: Simplify right side
1,702,319,103.16x = 1,171,314,590,477,124,608 - Step 5: Solve for x
x = 1,171,314,590,477,124,608/1,702,319,103.16 - Step 6: Final answer
x = 688,069,932.54
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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.