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Finding the Fourth Proportional to 434,971,287.44, 652,254,629.88 and 158,429,978

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Solution

The fourth proportional to 434,971,287.44, 652,254,629.88 and 158,429,978 is: 237,571,282.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,971,287.44 : 652,254,629.88 = 158,429,978 : x
  2. Step 2: Convert to fraction form
    434,971,287.44/652,254,629.88 = 158,429,978/x
  3. Step 3: Cross multiply
    434,971,287.44x = 652,254,629.88 × 158,429,978
  4. Step 4: Simplify right side
    434,971,287.44x = 103,336,686,662,286,544
  5. Step 5: Solve for x
    x = 103,336,686,662,286,544/434,971,287.44
  6. Step 6: Final answer
    x = 237,571,282.63

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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.