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Finding the Fourth Proportional to 409,536,610.01, 614,301,209.87 and 129,417,570.56

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Solution

The fourth proportional to 409,536,610.01, 614,301,209.87 and 129,417,570.56 is: 194,125,184.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,536,610.01 : 614,301,209.87 = 129,417,570.56 : x
  2. Step 2: Convert to fraction form
    409,536,610.01/614,301,209.87 = 129,417,570.56/x
  3. Step 3: Cross multiply
    409,536,610.01x = 614,301,209.87 × 129,417,570.56
  4. Step 4: Simplify right side
    409,536,610.01x = 79,501,370,169,725,504
  5. Step 5: Solve for x
    x = 79,501,370,169,725,504/409,536,610.01
  6. Step 6: Final answer
    x = 194,125,184.97

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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.