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Finding the Fourth Proportional to 290,644,763,643.20, 435,967,145,464.80 and 290,644,763,643.20

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Solution

The fourth proportional to 290,644,763,643.20, 435,967,145,464.80 and 290,644,763,643.20 is: 435,967,145,464.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,644,763,643.20 : 435,967,145,464.80 = 290,644,763,643.20 : x
  2. Step 2: Convert to fraction form
    290,644,763,643.20/435,967,145,464.80 = 290,644,763,643.20/x
  3. Step 3: Cross multiply
    290,644,763,643.20x = 435,967,145,464.80 × 290,644,763,643.20
  4. Step 4: Simplify right side
    290,644,763,643.20x = 126,711,567,949,817,385,582,592
  5. Step 5: Solve for x
    x = 126,711,567,949,817,385,582,592/290,644,763,643.20
  6. Step 6: Final answer
    x = 435,967,145,464.80

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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.