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Finding the Fourth Proportional to 32,765,634,007.90, 49,148,451,012.30 and 32,765,634,007.90

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Solution

The fourth proportional to 32,765,634,007.90, 49,148,451,012.30 and 32,765,634,007.90 is: 49,148,451,012.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,765,634,007.90 : 49,148,451,012.30 = 32,765,634,007.90 : x
  2. Step 2: Convert to fraction form
    32,765,634,007.90/49,148,451,012.30 = 32,765,634,007.90/x
  3. Step 3: Cross multiply
    32,765,634,007.90x = 49,148,451,012.30 × 32,765,634,007.90
  4. Step 4: Simplify right side
    32,765,634,007.90x = 1,610,380,157,924,224,270,336
  5. Step 5: Solve for x
    x = 1,610,380,157,924,224,270,336/32,765,634,007.90
  6. Step 6: Final answer
    x = 49,148,451,012.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.