Finding the Fourth Proportional to 198,245,399,202.02, 297,367,727,641.10 and 62,117,944,853.47
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Solution
The fourth proportional to 198,245,399,202.02, 297,367,727,641.10 and 62,117,944,853.47 is: 93,176,800,980.83
Step by Step Solution
- Step 1: Write the proportion equation
198,245,399,202.02 : 297,367,727,641.10 = 62,117,944,853.47 : x - Step 2: Convert to fraction form
198,245,399,202.02/297,367,727,641.10 = 62,117,944,853.47/x - Step 3: Cross multiply
198,245,399,202.02x = 297,367,727,641.10 × 62,117,944,853.47 - Step 4: Simplify right side
198,245,399,202.02x = 18,471,872,106,812,128,886,784 - Step 5: Solve for x
x = 18,471,872,106,812,128,886,784/198,245,399,202.02 - Step 6: Final answer
x = 93,176,800,980.83
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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.