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Finding the Fourth Proportional to 32,297,634,300.80, 48,446,451,451.20 and 32,297,634,300.80

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Solution

The fourth proportional to 32,297,634,300.80, 48,446,451,451.20 and 32,297,634,300.80 is: 48,446,451,451.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,297,634,300.80 : 48,446,451,451.20 = 32,297,634,300.80 : x
  2. Step 2: Convert to fraction form
    32,297,634,300.80/48,446,451,451.20 = 32,297,634,300.80/x
  3. Step 3: Cross multiply
    32,297,634,300.80x = 48,446,451,451.20 × 32,297,634,300.80
  4. Step 4: Simplify right side
    32,297,634,300.80x = 1,564,705,772,142,318,845,952
  5. Step 5: Solve for x
    x = 1,564,705,772,142,318,845,952/32,297,634,300.80
  6. Step 6: Final answer
    x = 48,446,451,451.20

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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.