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Finding the Fourth Proportional to 359,665,745.60, 539,713,848.96 and 155,193,820.85

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Solution

The fourth proportional to 359,665,745.60, 539,713,848.96 and 155,193,820.85 is: 232,883,602.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,665,745.60 : 539,713,848.96 = 155,193,820.85 : x
  2. Step 2: Convert to fraction form
    359,665,745.60/539,713,848.96 = 155,193,820.85/x
  3. Step 3: Cross multiply
    359,665,745.60x = 539,713,848.96 × 155,193,820.85
  4. Step 4: Simplify right side
    359,665,745.60x = 83,760,254,383,063,632
  5. Step 5: Solve for x
    x = 83,760,254,383,063,632/359,665,745.60
  6. Step 6: Final answer
    x = 232,883,602.09

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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.