Finding the Fourth Proportional to 546,197,312,539.12, 753,735,927,853.14 and 302,336,777,139.70
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Solution
The fourth proportional to 546,197,312,539.12, 753,735,927,853.14 and 302,336,777,139.70 is: 417,215,694,786.49
Step by Step Solution
- Step 1: Write the proportion equation
546,197,312,539.12 : 753,735,927,853.14 = 302,336,777,139.70 : x - Step 2: Convert to fraction form
546,197,312,539.12/753,735,927,853.14 = 302,336,777,139.70/x - Step 3: Cross multiply
546,197,312,539.12x = 753,735,927,853.14 × 302,336,777,139.70 - Step 4: Simplify right side
546,197,312,539.12x = 227,882,091,241,519,785,705,472 - Step 5: Solve for x
x = 227,882,091,241,519,785,705,472/546,197,312,539.12 - Step 6: Final answer
x = 417,215,694,786.49
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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.