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Finding the Fourth Proportional to 484,900,911,000.30, 727,351,366,500.45 and 484,900,911,000.30

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Solution

The fourth proportional to 484,900,911,000.30, 727,351,366,500.45 and 484,900,911,000.30 is: 727,351,366,500.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,900,911,000.30 : 727,351,366,500.45 = 484,900,911,000.30 : x
  2. Step 2: Convert to fraction form
    484,900,911,000.30/727,351,366,500.45 = 484,900,911,000.30/x
  3. Step 3: Cross multiply
    484,900,911,000.30x = 727,351,366,500.45 × 484,900,911,000.30
  4. Step 4: Simplify right side
    484,900,911,000.30x = 352,693,340,233,381,252,694,016
  5. Step 5: Solve for x
    x = 352,693,340,233,381,252,694,016/484,900,911,000.30
  6. Step 6: Final answer
    x = 727,351,366,500.45

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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.