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Finding the Fourth Proportional to 409,653,606.30, 614,480,409.45 and 409,653,606.30

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Solution

The fourth proportional to 409,653,606.30, 614,480,409.45 and 409,653,606.30 is: 614,480,409.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,653,606.30 : 614,480,409.45 = 409,653,606.30 : x
  2. Step 2: Convert to fraction form
    409,653,606.30/614,480,409.45 = 409,653,606.30/x
  3. Step 3: Cross multiply
    409,653,606.30x = 614,480,409.45 × 409,653,606.30
  4. Step 4: Simplify right side
    409,653,606.30x = 251,724,115,731,893,120
  5. Step 5: Solve for x
    x = 251,724,115,731,893,120/409,653,606.30
  6. Step 6: Final answer
    x = 614,480,409.45

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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.