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Finding the Fourth Proportional to 578,057,704.80, 866,834,614.80 and 232,896,616.80

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Solution

The fourth proportional to 578,057,704.80, 866,834,614.80 and 232,896,616.80 is: 349,243,418.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,057,704.80 : 866,834,614.80 = 232,896,616.80 : x
  2. Step 2: Convert to fraction form
    578,057,704.80/866,834,614.80 = 232,896,616.80/x
  3. Step 3: Cross multiply
    578,057,704.80x = 866,834,614.80 × 232,896,616.80
  4. Step 4: Simplify right side
    578,057,704.80x = 201,882,849,112,051,200
  5. Step 5: Solve for x
    x = 201,882,849,112,051,200/578,057,704.80
  6. Step 6: Final answer
    x = 349,243,418.84

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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.