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Finding the Fourth Proportional to 408,943,865,477.70, 613,415,798,216.55 and 408,943,865,477.70

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Solution

The fourth proportional to 408,943,865,477.70, 613,415,798,216.55 and 408,943,865,477.70 is: 613,415,798,216.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,943,865,477.70 : 613,415,798,216.55 = 408,943,865,477.70 : x
  2. Step 2: Convert to fraction form
    408,943,865,477.70/613,415,798,216.55 = 408,943,865,477.70/x
  3. Step 3: Cross multiply
    408,943,865,477.70x = 613,415,798,216.55 × 408,943,865,477.70
  4. Step 4: Simplify right side
    408,943,865,477.70x = 250,852,627,667,764,817,952,768
  5. Step 5: Solve for x
    x = 250,852,627,667,764,817,952,768/408,943,865,477.70
  6. Step 6: Final answer
    x = 613,415,798,216.55

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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.