Finding the Fourth Proportional to 11,615,438,877,698, 16,030,711,242,148 and 6,610,901,801,316
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Solution
The fourth proportional to 11,615,438,877,698, 16,030,711,242,148 and 6,610,901,801,316 is: 9,123,844,474,837.09
Step by Step Solution
- Step 1: Write the proportion equation
11,615,438,877,698 : 16,030,711,242,148 = 6,610,901,801,316 : x - Step 2: Convert to fraction form
11,615,438,877,698/16,030,711,242,148 = 6,610,901,801,316/x - Step 3: Cross multiply
11,615,438,877,698x = 16,030,711,242,148 × 6,610,901,801,316 - Step 4: Simplify right side
11,615,438,877,698x = 105,977,457,827,092,866,715,877,376 - Step 5: Solve for x
x = 105,977,457,827,092,866,715,877,376/11,615,438,877,698 - Step 6: Final answer
x = 9,123,844,474,837.09
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.