Finding the Fourth Proportional to 106,935,552,007.70, 160,403,328,011.55 and 106,935,552,007.70
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Solution
The fourth proportional to 106,935,552,007.70, 160,403,328,011.55 and 106,935,552,007.70 is: 160,403,328,011.55
Step by Step Solution
- Step 1: Write the proportion equation
106,935,552,007.70 : 160,403,328,011.55 = 106,935,552,007.70 : x - Step 2: Convert to fraction form
106,935,552,007.70/160,403,328,011.55 = 106,935,552,007.70/x - Step 3: Cross multiply
106,935,552,007.70x = 160,403,328,011.55 × 106,935,552,007.70 - Step 4: Simplify right side
106,935,552,007.70x = 17,152,818,424,787,266,174,976 - Step 5: Solve for x
x = 17,152,818,424,787,266,174,976/106,935,552,007.70 - Step 6: Final answer
x = 160,403,328,011.55
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1.5x scale
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.