Finding the Fourth Proportional to 213,016,539,495.84, 293,962,982,987.88 and 115,358,938,507.44
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Solution
The fourth proportional to 213,016,539,495.84, 293,962,982,987.88 and 115,358,938,507.44 is: 159,195,420,966.95
Step by Step Solution
- Step 1: Write the proportion equation
213,016,539,495.84 : 293,962,982,987.88 = 115,358,938,507.44 : x - Step 2: Convert to fraction form
213,016,539,495.84/293,962,982,987.88 = 115,358,938,507.44/x - Step 3: Cross multiply
213,016,539,495.84x = 293,962,982,987.88 × 115,358,938,507.44 - Step 4: Simplify right side
213,016,539,495.84x = 33,911,257,677,962,479,140,864 - Step 5: Solve for x
x = 33,911,257,677,962,479,140,864/213,016,539,495.84 - Step 6: Final answer
x = 159,195,420,966.95
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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.