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Finding the Fourth Proportional to 3,691,008,066.65, 5,157,736,705.15 and 3,691,008,066.65

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Solution

The fourth proportional to 3,691,008,066.65, 5,157,736,705.15 and 3,691,008,066.65 is: 5,157,736,705.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,691,008,066.65 : 5,157,736,705.15 = 3,691,008,066.65 : x
  2. Step 2: Convert to fraction form
    3,691,008,066.65/5,157,736,705.15 = 3,691,008,066.65/x
  3. Step 3: Cross multiply
    3,691,008,066.65x = 5,157,736,705.15 × 3,691,008,066.65
  4. Step 4: Simplify right side
    3,691,008,066.65x = 19,037,247,784,365,441,024
  5. Step 5: Solve for x
    x = 19,037,247,784,365,441,024/3,691,008,066.65
  6. Step 6: Final answer
    x = 5,157,736,705.15

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.