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Finding the Fourth Proportional to 32,765,634,008.40, 49,148,451,013.05 and 32,765,634,008.40

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Solution

The fourth proportional to 32,765,634,008.40, 49,148,451,013.05 and 32,765,634,008.40 is: 49,148,451,013.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,765,634,008.40 : 49,148,451,013.05 = 32,765,634,008.40 : x
  2. Step 2: Convert to fraction form
    32,765,634,008.40/49,148,451,013.05 = 32,765,634,008.40/x
  3. Step 3: Cross multiply
    32,765,634,008.40x = 49,148,451,013.05 × 32,765,634,008.40
  4. Step 4: Simplify right side
    32,765,634,008.40x = 1,610,380,157,973,372,600,320
  5. Step 5: Solve for x
    x = 1,610,380,157,973,372,600,320/32,765,634,008.40
  6. Step 6: Final answer
    x = 49,148,451,013.05

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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.