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Finding the Fourth Proportional to 837,397,315.52, 1,256,283,314.52 and 255,177,128

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Solution

The fourth proportional to 837,397,315.52, 1,256,283,314.52 and 255,177,128 is: 382,822,779.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    837,397,315.52 : 1,256,283,314.52 = 255,177,128 : x
  2. Step 2: Convert to fraction form
    837,397,315.52/1,256,283,314.52 = 255,177,128/x
  3. Step 3: Cross multiply
    837,397,315.52x = 1,256,283,314.52 × 255,177,128
  4. Step 4: Simplify right side
    837,397,315.52x = 320,574,768,153,534,272
  5. Step 5: Solve for x
    x = 320,574,768,153,534,272/837,397,315.52
  6. Step 6: Final answer
    x = 382,822,779.83

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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.