Finding the Fourth Proportional to 11,615,438,877,700, 16,030,711,242,150 and 6,610,901,801,318
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Solution
The fourth proportional to 11,615,438,877,700, 16,030,711,242,150 and 6,610,901,801,318 is: 9,123,844,474,839.42
Step by Step Solution
- Step 1: Write the proportion equation
11,615,438,877,700 : 16,030,711,242,150 = 6,610,901,801,318 : x - Step 2: Convert to fraction form
11,615,438,877,700/16,030,711,242,150 = 6,610,901,801,318/x - Step 3: Cross multiply
11,615,438,877,700x = 16,030,711,242,150 × 6,610,901,801,318 - Step 4: Simplify right side
11,615,438,877,700x = 105,977,457,827,138,152,851,046,400 - Step 5: Solve for x
x = 105,977,457,827,138,152,851,046,400/11,615,438,877,700 - Step 6: Final answer
x = 9,123,844,474,839.42
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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.