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Finding the Fourth Proportional to 647,694,501.60, 971,541,752.40 and 320,220,557.40

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Solution

The fourth proportional to 647,694,501.60, 971,541,752.40 and 320,220,557.40 is: 480,330,836.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,694,501.60 : 971,541,752.40 = 320,220,557.40 : x
  2. Step 2: Convert to fraction form
    647,694,501.60/971,541,752.40 = 320,220,557.40/x
  3. Step 3: Cross multiply
    647,694,501.60x = 971,541,752.40 × 320,220,557.40
  4. Step 4: Simplify right side
    647,694,501.60x = 311,107,641,490,900,736
  5. Step 5: Solve for x
    x = 311,107,641,490,900,736/647,694,501.60
  6. Step 6: Final answer
    x = 480,330,836.10

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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.