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Finding the Fourth Proportional to 1,099,693,823.20, 1,649,540,734.80 and 409,458,252.40

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Solution

The fourth proportional to 1,099,693,823.20, 1,649,540,734.80 and 409,458,252.40 is: 614,187,378.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099,693,823.20 : 1,649,540,734.80 = 409,458,252.40 : x
  2. Step 2: Convert to fraction form
    1,099,693,823.20/1,649,540,734.80 = 409,458,252.40/x
  3. Step 3: Cross multiply
    1,099,693,823.20x = 1,649,540,734.80 × 409,458,252.40
  4. Step 4: Simplify right side
    1,099,693,823.20x = 675,418,066,533,819,776
  5. Step 5: Solve for x
    x = 675,418,066,533,819,776/1,099,693,823.20
  6. Step 6: Final answer
    x = 614,187,378.60

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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.