Finding the Fourth Proportional to 511,788,354,861.78, 706,290,130,719.27 and 283,417,596,847.62
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Solution
The fourth proportional to 511,788,354,861.78, 706,290,130,719.27 and 283,417,596,847.62 is: 391,128,578,100.82
Step by Step Solution
- Step 1: Write the proportion equation
511,788,354,861.78 : 706,290,130,719.27 = 283,417,596,847.62 : x - Step 2: Convert to fraction form
511,788,354,861.78/706,290,130,719.27 = 283,417,596,847.62/x - Step 3: Cross multiply
511,788,354,861.78x = 706,290,130,719.27 × 283,417,596,847.62 - Step 4: Simplify right side
511,788,354,861.78x = 200,175,051,525,646,888,992,768 - Step 5: Solve for x
x = 200,175,051,525,646,888,992,768/511,788,354,861.78 - Step 6: Final answer
x = 391,128,578,100.82
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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.