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Finding the Fourth Proportional to 508,204,145.70, 760,871,327.85 and 508,204,145.70

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Solution

The fourth proportional to 508,204,145.70, 760,871,327.85 and 508,204,145.70 is: 760,871,327.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,204,145.70 : 760,871,327.85 = 508,204,145.70 : x
  2. Step 2: Convert to fraction form
    508,204,145.70/760,871,327.85 = 508,204,145.70/x
  3. Step 3: Cross multiply
    508,204,145.70x = 760,871,327.85 × 508,204,145.70
  4. Step 4: Simplify right side
    508,204,145.70x = 386,677,963,157,633,856
  5. Step 5: Solve for x
    x = 386,677,963,157,633,856/508,204,145.70
  6. Step 6: Final answer
    x = 760,871,327.85

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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.