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Finding the Fourth Proportional to 488,647,764.16, 733,321,347.54 and 177,754,779.16

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Solution

The fourth proportional to 488,647,764.16, 733,321,347.54 and 177,754,779.16 is: 266,759,379.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,647,764.16 : 733,321,347.54 = 177,754,779.16 : x
  2. Step 2: Convert to fraction form
    488,647,764.16/733,321,347.54 = 177,754,779.16/x
  3. Step 3: Cross multiply
    488,647,764.16x = 733,321,347.54 × 177,754,779.16
  4. Step 4: Simplify right side
    488,647,764.16x = 130,351,374,185,286,304
  5. Step 5: Solve for x
    x = 130,351,374,185,286,304/488,647,764.16
  6. Step 6: Final answer
    x = 266,759,379.14

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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.