Finding the Fourth Proportional to 9,984,752,956.94, 13,778,695,357.54 and 5,697,889,439.99
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Solution
The fourth proportional to 9,984,752,956.94, 13,778,695,357.54 and 5,697,889,439.99 is: 7,862,936,931.25
Step by Step Solution
- Step 1: Write the proportion equation
9,984,752,956.94 : 13,778,695,357.54 = 5,697,889,439.99 : x - Step 2: Convert to fraction form
9,984,752,956.94/13,778,695,357.54 = 5,697,889,439.99/x - Step 3: Cross multiply
9,984,752,956.94x = 13,778,695,357.54 × 5,697,889,439.99 - Step 4: Simplify right side
9,984,752,956.94x = 78,509,482,774,503,473,152 - Step 5: Solve for x
x = 78,509,482,774,503,473,152/9,984,752,956.94 - Step 6: Final answer
x = 7,862,936,931.25
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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.