Finding the Fourth Proportional to 808,509,301,508.96, 1,210,838,727,757.80 and 467,830,511,582.48
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Solution
The fourth proportional to 808,509,301,508.96, 1,210,838,727,757.80 and 467,830,511,582.48 is: 700,631,768,111.49
Step by Step Solution
- Step 1: Write the proportion equation
808,509,301,508.96 : 1,210,838,727,757.80 = 467,830,511,582.48 : x - Step 2: Convert to fraction form
808,509,301,508.96/1,210,838,727,757.80 = 467,830,511,582.48/x - Step 3: Cross multiply
808,509,301,508.96x = 1,210,838,727,757.80 × 467,830,511,582.48 - Step 4: Simplify right side
808,509,301,508.96x = 566,467,301,450,810,797,326,336 - Step 5: Solve for x
x = 566,467,301,450,810,797,326,336/808,509,301,508.96 - Step 6: Final answer
x = 700,631,768,111.49
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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.