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Finding the Fourth Proportional to 408,943,805,145.07, 613,415,707,717.60 and 408,943,805,145.07

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Solution

The fourth proportional to 408,943,805,145.07, 613,415,707,717.60 and 408,943,805,145.07 is: 613,415,707,717.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,943,805,145.07 : 613,415,707,717.60 = 408,943,805,145.07 : x
  2. Step 2: Convert to fraction form
    408,943,805,145.07/613,415,707,717.60 = 408,943,805,145.07/x
  3. Step 3: Cross multiply
    408,943,805,145.07x = 613,415,707,717.60 × 408,943,805,145.07
  4. Step 4: Simplify right side
    408,943,805,145.07x = 250,852,553,649,791,409,586,176
  5. Step 5: Solve for x
    x = 250,852,553,649,791,409,586,176/408,943,805,145.07
  6. Step 6: Final answer
    x = 613,415,707,717.60

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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.