Finding the Fourth Proportional to 2,898,177,455,843.20, 4,347,266,183,764.80 and 778,426,817,046.40
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Solution
The fourth proportional to 2,898,177,455,843.20, 4,347,266,183,764.80 and 778,426,817,046.40 is: 1,167,640,225,569.60
Step by Step Solution
- Step 1: Write the proportion equation
2,898,177,455,843.20 : 4,347,266,183,764.80 = 778,426,817,046.40 : x - Step 2: Convert to fraction form
2,898,177,455,843.20/4,347,266,183,764.80 = 778,426,817,046.40/x - Step 3: Cross multiply
2,898,177,455,843.20x = 4,347,266,183,764.80 × 778,426,817,046.40 - Step 4: Simplify right side
2,898,177,455,843.20x = 3,384,028,578,281,483,396,972,544 - Step 5: Solve for x
x = 3,384,028,578,281,483,396,972,544/2,898,177,455,843.20 - Step 6: Final answer
x = 1,167,640,225,569.60
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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.