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Finding the Fourth Proportional to 144,818,462,977.20, 217,227,694,465.80 and 144,818,462,977.20

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Solution

The fourth proportional to 144,818,462,977.20, 217,227,694,465.80 and 144,818,462,977.20 is: 217,227,694,465.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,818,462,977.20 : 217,227,694,465.80 = 144,818,462,977.20 : x
  2. Step 2: Convert to fraction form
    144,818,462,977.20/217,227,694,465.80 = 144,818,462,977.20/x
  3. Step 3: Cross multiply
    144,818,462,977.20x = 217,227,694,465.80 × 144,818,462,977.20
  4. Step 4: Simplify right side
    144,818,462,977.20x = 31,458,580,828,617,969,762,304
  5. Step 5: Solve for x
    x = 31,458,580,828,617,969,762,304/144,818,462,977.20
  6. Step 6: Final answer
    x = 217,227,694,465.80

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1.5x scale

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.