Finding the Fourth Proportional to 10,883,934,676,698, 15,020,286,159,527 and 6,259,430,437,633.40
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Solution
The fourth proportional to 10,883,934,676,698, 15,020,286,159,527 and 6,259,430,437,633.40 is: 8,638,276,428,670.24
Step by Step Solution
- Step 1: Write the proportion equation
10,883,934,676,698 : 15,020,286,159,527 = 6,259,430,437,633.40 : x - Step 2: Convert to fraction form
10,883,934,676,698/15,020,286,159,527 = 6,259,430,437,633.40/x - Step 3: Cross multiply
10,883,934,676,698x = 15,020,286,159,527 × 6,259,430,437,633.40 - Step 4: Simplify right side
10,883,934,676,698x = 94,018,436,368,906,990,911,488,000 - Step 5: Solve for x
x = 94,018,436,368,906,990,911,488,000/10,883,934,676,698 - Step 6: Final answer
x = 8,638,276,428,670.24
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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.