Finding the Fourth Proportional to 9,778,660,215.34, 13,497,477,460.46 and 5,710,659,244.12
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Solution
The fourth proportional to 9,778,660,215.34, 13,497,477,460.46 and 5,710,659,244.12 is: 7,882,418,729.61
Step by Step Solution
- Step 1: Write the proportion equation
9,778,660,215.34 : 13,497,477,460.46 = 5,710,659,244.12 : x - Step 2: Convert to fraction form
9,778,660,215.34/13,497,477,460.46 = 5,710,659,244.12/x - Step 3: Cross multiply
9,778,660,215.34x = 13,497,477,460.46 × 5,710,659,244.12 - Step 4: Simplify right side
9,778,660,215.34x = 77,079,494,431,943,999,488 - Step 5: Solve for x
x = 77,079,494,431,943,999,488/9,778,660,215.34 - Step 6: Final answer
x = 7,882,418,729.61
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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.