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Finding the Fourth Proportional to 137,797,057,312.80, 206,695,585,969.20 and 137,797,057,312.80

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Solution

The fourth proportional to 137,797,057,312.80, 206,695,585,969.20 and 137,797,057,312.80 is: 206,695,585,969.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,797,057,312.80 : 206,695,585,969.20 = 137,797,057,312.80 : x
  2. Step 2: Convert to fraction form
    137,797,057,312.80/206,695,585,969.20 = 137,797,057,312.80/x
  3. Step 3: Cross multiply
    137,797,057,312.80x = 206,695,585,969.20 × 137,797,057,312.80
  4. Step 4: Simplify right side
    137,797,057,312.80x = 28,482,043,506,100,631,764,992
  5. Step 5: Solve for x
    x = 28,482,043,506,100,631,764,992/137,797,057,312.80
  6. Step 6: Final answer
    x = 206,695,585,969.20

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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.