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Finding the Fourth Proportional to 257,287,276.80, 361,157,702.40 and 257,287,276.80

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Solution

The fourth proportional to 257,287,276.80, 361,157,702.40 and 257,287,276.80 is: 361,157,702.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,287,276.80 : 361,157,702.40 = 257,287,276.80 : x
  2. Step 2: Convert to fraction form
    257,287,276.80/361,157,702.40 = 257,287,276.80/x
  3. Step 3: Cross multiply
    257,287,276.80x = 361,157,702.40 × 257,287,276.80
  4. Step 4: Simplify right side
    257,287,276.80x = 92,921,281,745,840,816
  5. Step 5: Solve for x
    x = 92,921,281,745,840,816/257,287,276.80
  6. Step 6: Final answer
    x = 361,157,702.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.