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Finding the Fourth Proportional to 564,497,883.97, 846,595,660.48 and 155,456,800.45

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Solution

The fourth proportional to 564,497,883.97, 846,595,660.48 and 155,456,800.45 is: 233,143,571.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,497,883.97 : 846,595,660.48 = 155,456,800.45 : x
  2. Step 2: Convert to fraction form
    564,497,883.97/846,595,660.48 = 155,456,800.45/x
  3. Step 3: Cross multiply
    564,497,883.97x = 846,595,660.48 × 155,456,800.45
  4. Step 4: Simplify right side
    564,497,883.97x = 131,609,052,653,075,312
  5. Step 5: Solve for x
    x = 131,609,052,653,075,312/564,497,883.97
  6. Step 6: Final answer
    x = 233,143,571.29

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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.