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Finding the Fourth Proportional to 768,672,223.16, 1,152,769,868.22 and 277,321,618.04

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Solution

The fourth proportional to 768,672,223.16, 1,152,769,868.22 and 277,321,618.04 is: 415,896,393.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,672,223.16 : 1,152,769,868.22 = 277,321,618.04 : x
  2. Step 2: Convert to fraction form
    768,672,223.16/1,152,769,868.22 = 277,321,618.04/x
  3. Step 3: Cross multiply
    768,672,223.16x = 1,152,769,868.22 × 277,321,618.04
  4. Step 4: Simplify right side
    768,672,223.16x = 319,688,005,082,528,000
  5. Step 5: Solve for x
    x = 319,688,005,082,528,000/768,672,223.16
  6. Step 6: Final answer
    x = 415,896,393.09

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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.