Finding the Fourth Proportional to 99,578,366,455.84, 137,418,556,897.12 and 53,852,640,875.20
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Solution
The fourth proportional to 99,578,366,455.84, 137,418,556,897.12 and 53,852,640,875.20 is: 74,316,866,781.01
Step by Step Solution
- Step 1: Write the proportion equation
99,578,366,455.84 : 137,418,556,897.12 = 53,852,640,875.20 : x - Step 2: Convert to fraction form
99,578,366,455.84/137,418,556,897.12 = 53,852,640,875.20/x - Step 3: Cross multiply
99,578,366,455.84x = 137,418,556,897.12 × 53,852,640,875.20 - Step 4: Simplify right side
99,578,366,455.84x = 7,400,352,194,168,840,257,536 - Step 5: Solve for x
x = 7,400,352,194,168,840,257,536/99,578,366,455.84 - Step 6: Final answer
x = 74,316,866,781.01
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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.