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Finding the Fourth Proportional to 370,946,304,826.40, 556,419,457,239.60 and 370,946,304,826.40

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Solution

The fourth proportional to 370,946,304,826.40, 556,419,457,239.60 and 370,946,304,826.40 is: 556,419,457,239.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,946,304,826.40 : 556,419,457,239.60 = 370,946,304,826.40 : x
  2. Step 2: Convert to fraction form
    370,946,304,826.40/556,419,457,239.60 = 370,946,304,826.40/x
  3. Step 3: Cross multiply
    370,946,304,826.40x = 556,419,457,239.60 × 370,946,304,826.40
  4. Step 4: Simplify right side
    370,946,304,826.40x = 206,401,741,596,540,708,847,616
  5. Step 5: Solve for x
    x = 206,401,741,596,540,708,847,616/370,946,304,826.40
  6. Step 6: Final answer
    x = 556,419,457,239.60

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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.