Finding the Fourth Proportional to 9,664,877,725.77, 13,329,975,376.95 and 6,278,877,978.08
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Solution
The fourth proportional to 9,664,877,725.77, 13,329,975,376.95 and 6,278,877,978.08 is: 8,659,942,858.81
Step by Step Solution
- Step 1: Write the proportion equation
9,664,877,725.77 : 13,329,975,376.95 = 6,278,877,978.08 : x - Step 2: Convert to fraction form
9,664,877,725.77/13,329,975,376.95 = 6,278,877,978.08/x - Step 3: Cross multiply
9,664,877,725.77x = 13,329,975,376.95 × 6,278,877,978.08 - Step 4: Simplify right side
9,664,877,725.77x = 83,697,288,842,588,225,536 - Step 5: Solve for x
x = 83,697,288,842,588,225,536/9,664,877,725.77 - Step 6: Final answer
x = 8,659,942,858.81
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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.