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Finding the Fourth Proportional to 971,165,517.60, 1,456,748,276.40 and 971,165,517.60

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Solution

The fourth proportional to 971,165,517.60, 1,456,748,276.40 and 971,165,517.60 is: 1,456,748,276.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    971,165,517.60 : 1,456,748,276.40 = 971,165,517.60 : x
  2. Step 2: Convert to fraction form
    971,165,517.60/1,456,748,276.40 = 971,165,517.60/x
  3. Step 3: Cross multiply
    971,165,517.60x = 1,456,748,276.40 × 971,165,517.60
  4. Step 4: Simplify right side
    971,165,517.60x = 1,414,743,693,862,914,048
  5. Step 5: Solve for x
    x = 1,414,743,693,862,914,048/971,165,517.60
  6. Step 6: Final answer
    x = 1,456,748,276.40

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1.5x scale

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.