Finding the Fourth Proportional to 10,506,163,062.80, 14,498,397,531.24 and 5,812,509,743.12
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Solution
The fourth proportional to 10,506,163,062.80, 14,498,397,531.24 and 5,812,509,743.12 is: 8,021,203,973.92
Step by Step Solution
- Step 1: Write the proportion equation
10,506,163,062.80 : 14,498,397,531.24 = 5,812,509,743.12 : x - Step 2: Convert to fraction form
10,506,163,062.80/14,498,397,531.24 = 5,812,509,743.12/x - Step 3: Cross multiply
10,506,163,062.80x = 14,498,397,531.24 × 5,812,509,743.12 - Step 4: Simplify right side
10,506,163,062.80x = 84,272,076,909,959,446,528 - Step 5: Solve for x
x = 84,272,076,909,959,446,528/10,506,163,062.80 - Step 6: Final answer
x = 8,021,203,973.92
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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.