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Finding the Fourth Proportional to 559,876,830.80, 839,815,246.20 and 171,759,563.60

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Solution

The fourth proportional to 559,876,830.80, 839,815,246.20 and 171,759,563.60 is: 257,639,345.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,876,830.80 : 839,815,246.20 = 171,759,563.60 : x
  2. Step 2: Convert to fraction form
    559,876,830.80/839,815,246.20 = 171,759,563.60/x
  3. Step 3: Cross multiply
    559,876,830.80x = 839,815,246.20 × 171,759,563.60
  4. Step 4: Simplify right side
    559,876,830.80x = 144,246,300,191,938,560
  5. Step 5: Solve for x
    x = 144,246,300,191,938,560/559,876,830.80
  6. Step 6: Final answer
    x = 257,639,345.40

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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.