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Finding the Fourth Proportional to 768,080,603.52, 1,059,954,464.35 and 415,656,611.54

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Solution

The fourth proportional to 768,080,603.52, 1,059,954,464.35 and 415,656,611.54 is: 573,607,872.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,080,603.52 : 1,059,954,464.35 = 415,656,611.54 : x
  2. Step 2: Convert to fraction form
    768,080,603.52/1,059,954,464.35 = 415,656,611.54/x
  3. Step 3: Cross multiply
    768,080,603.52x = 1,059,954,464.35 × 415,656,611.54
  4. Step 4: Simplify right side
    768,080,603.52x = 440,577,081,038,416,768
  5. Step 5: Solve for x
    x = 440,577,081,038,416,768/768,080,603.52
  6. Step 6: Final answer
    x = 573,607,872.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.