Finding the Fourth Proportional to 1,433,071,313,473.60, 2,149,615,006,263.80 and 478,007,287,815.84
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Solution
The fourth proportional to 1,433,071,313,473.60, 2,149,615,006,263.80 and 478,007,287,815.84 is: 717,013,612,184.99
Step by Step Solution
- Step 1: Write the proportion equation
1,433,071,313,473.60 : 2,149,615,006,263.80 = 478,007,287,815.84 : x - Step 2: Convert to fraction form
1,433,071,313,473.60/2,149,615,006,263.80 = 478,007,287,815.84/x - Step 3: Cross multiply
1,433,071,313,473.60x = 2,149,615,006,263.80 × 478,007,287,815.84 - Step 4: Simplify right side
1,433,071,313,473.60x = 1,027,531,638,992,388,986,241,024 - Step 5: Solve for x
x = 1,027,531,638,992,388,986,241,024/1,433,071,313,473.60 - Step 6: Final answer
x = 717,013,612,184.99
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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.