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Finding the Fourth Proportional to 216,709,357.50, 299,058,013.44 and 128,675,822.94

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Solution

The fourth proportional to 216,709,357.50, 299,058,013.44 and 128,675,822.94 is: 177,572,101.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,709,357.50 : 299,058,013.44 = 128,675,822.94 : x
  2. Step 2: Convert to fraction form
    216,709,357.50/299,058,013.44 = 128,675,822.94/x
  3. Step 3: Cross multiply
    216,709,357.50x = 299,058,013.44 × 128,675,822.94
  4. Step 4: Simplify right side
    216,709,357.50x = 38,481,535,986,193,576
  5. Step 5: Solve for x
    x = 38,481,535,986,193,576/216,709,357.50
  6. Step 6: Final answer
    x = 177,572,101.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.