Finding the Fourth Proportional to 523,442,719,007.60, 785,402,646,694.45 and 268,651,028,125.75
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Solution
The fourth proportional to 523,442,719,007.60, 785,402,646,694.45 and 268,651,028,125.75 is: 403,098,984,597.94
Step by Step Solution
- Step 1: Write the proportion equation
523,442,719,007.60 : 785,402,646,694.45 = 268,651,028,125.75 : x - Step 2: Convert to fraction form
523,442,719,007.60/785,402,646,694.45 = 268,651,028,125.75/x - Step 3: Cross multiply
523,442,719,007.60x = 785,402,646,694.45 × 268,651,028,125.75 - Step 4: Simplify right side
523,442,719,007.60x = 210,999,228,527,149,165,051,904 - Step 5: Solve for x
x = 210,999,228,527,149,165,051,904/523,442,719,007.60 - Step 6: Final answer
x = 403,098,984,597.94
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.