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Finding the Fourth Proportional to 2,137,428,051.30, 3,206,142,076.95 and 2,137,428,051.30

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Solution

The fourth proportional to 2,137,428,051.30, 3,206,142,076.95 and 2,137,428,051.30 is: 3,206,142,076.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,137,428,051.30 : 3,206,142,076.95 = 2,137,428,051.30 : x
  2. Step 2: Convert to fraction form
    2,137,428,051.30/3,206,142,076.95 = 2,137,428,051.30/x
  3. Step 3: Cross multiply
    2,137,428,051.30x = 3,206,142,076.95 × 2,137,428,051.30
  4. Step 4: Simplify right side
    2,137,428,051.30x = 6,852,898,011,726,172,160
  5. Step 5: Solve for x
    x = 6,852,898,011,726,172,160/2,137,428,051.30
  6. Step 6: Final answer
    x = 3,206,142,076.95

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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.