Finding the Fourth Proportional to 153,314,316,664.96, 229,765,911,030.72 and 119,320,895,536.96
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Solution
The fourth proportional to 153,314,316,664.96, 229,765,911,030.72 and 119,320,895,536.96 is: 178,821,357,746.80
Step by Step Solution
- Step 1: Write the proportion equation
153,314,316,664.96 : 229,765,911,030.72 = 119,320,895,536.96 : x - Step 2: Convert to fraction form
153,314,316,664.96/229,765,911,030.72 = 119,320,895,536.96/x - Step 3: Cross multiply
153,314,316,664.96x = 229,765,911,030.72 × 119,320,895,536.96 - Step 4: Simplify right side
153,314,316,664.96x = 27,415,874,268,050,986,369,024 - Step 5: Solve for x
x = 27,415,874,268,050,986,369,024/153,314,316,664.96 - Step 6: Final answer
x = 178,821,357,746.80
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.