Finding the Fourth Proportional to 106,935,553,337.20, 160,403,330,005.80 and 106,935,553,337.20
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Solution
The fourth proportional to 106,935,553,337.20, 160,403,330,005.80 and 106,935,553,337.20 is: 160,403,330,005.80
Step by Step Solution
- Step 1: Write the proportion equation
106,935,553,337.20 : 160,403,330,005.80 = 106,935,553,337.20 : x - Step 2: Convert to fraction form
106,935,553,337.20/160,403,330,005.80 = 106,935,553,337.20/x - Step 3: Cross multiply
106,935,553,337.20x = 160,403,330,005.80 × 106,935,553,337.20 - Step 4: Simplify right side
106,935,553,337.20x = 17,152,818,851,299,717,021,696 - Step 5: Solve for x
x = 17,152,818,851,299,717,021,696/106,935,553,337.20 - Step 6: Final answer
x = 160,403,330,005.80
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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.