Finding the Fourth Proportional to 106,001,232,777.51, 146,282,175,711.95 and 57,829,130,034.09
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Solution
The fourth proportional to 106,001,232,777.51, 146,282,175,711.95 and 57,829,130,034.09 is: 79,804,458,299.76
Step by Step Solution
- Step 1: Write the proportion equation
106,001,232,777.51 : 146,282,175,711.95 = 57,829,130,034.09 : x - Step 2: Convert to fraction form
106,001,232,777.51/146,282,175,711.95 = 57,829,130,034.09/x - Step 3: Cross multiply
106,001,232,777.51x = 146,282,175,711.95 × 57,829,130,034.09 - Step 4: Simplify right side
106,001,232,777.51x = 8,459,370,960,915,958,595,584 - Step 5: Solve for x
x = 8,459,370,960,915,958,595,584/106,001,232,777.51 - Step 6: Final answer
x = 79,804,458,299.76
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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.