Finding the Fourth Proportional to 4,177,794,077,897.60, 6,269,553,653,276 and 1,458,107,501,686.80
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Solution
The fourth proportional to 4,177,794,077,897.60, 6,269,553,653,276 and 1,458,107,501,686.80 is: 2,188,160,317,051.82
Step by Step Solution
- Step 1: Write the proportion equation
4,177,794,077,897.60 : 6,269,553,653,276 = 1,458,107,501,686.80 : x - Step 2: Convert to fraction form
4,177,794,077,897.60/6,269,553,653,276 = 1,458,107,501,686.80/x - Step 3: Cross multiply
4,177,794,077,897.60x = 6,269,553,653,276 × 1,458,107,501,686.80 - Step 4: Simplify right side
4,177,794,077,897.60x = 9,141,683,214,069,618,788,270,080 - Step 5: Solve for x
x = 9,141,683,214,069,618,788,270,080/4,177,794,077,897.60 - Step 6: Final answer
x = 2,188,160,317,051.82
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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.