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Finding the Fourth Proportional to 508,204,148.20, 760,871,331.60 and 508,204,148.20

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Solution

The fourth proportional to 508,204,148.20, 760,871,331.60 and 508,204,148.20 is: 760,871,331.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,204,148.20 : 760,871,331.60 = 508,204,148.20 : x
  2. Step 2: Convert to fraction form
    508,204,148.20/760,871,331.60 = 508,204,148.20/x
  3. Step 3: Cross multiply
    508,204,148.20x = 760,871,331.60 × 508,204,148.20
  4. Step 4: Simplify right side
    508,204,148.20x = 386,677,966,965,577,728
  5. Step 5: Solve for x
    x = 386,677,966,965,577,728/508,204,148.20
  6. Step 6: Final answer
    x = 760,871,331.60

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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.