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Finding the Fourth Proportional to 408,943,849,934.20, 613,415,774,901.30 and 408,943,849,934.20

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Solution

The fourth proportional to 408,943,849,934.20, 613,415,774,901.30 and 408,943,849,934.20 is: 613,415,774,901.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,943,849,934.20 : 613,415,774,901.30 = 408,943,849,934.20 : x
  2. Step 2: Convert to fraction form
    408,943,849,934.20/613,415,774,901.30 = 408,943,849,934.20/x
  3. Step 3: Cross multiply
    408,943,849,934.20x = 613,415,774,901.30 × 408,943,849,934.20
  4. Step 4: Simplify right side
    408,943,849,934.20x = 250,852,608,598,508,247,711,744
  5. Step 5: Solve for x
    x = 250,852,608,598,508,247,711,744/408,943,849,934.20
  6. Step 6: Final answer
    x = 613,415,774,901.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.