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Finding the Fourth Proportional to 1,008,907,850.40, 1,513,361,775.60 and 1,008,907,850.40

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Solution

The fourth proportional to 1,008,907,850.40, 1,513,361,775.60 and 1,008,907,850.40 is: 1,513,361,775.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,008,907,850.40 : 1,513,361,775.60 = 1,008,907,850.40 : x
  2. Step 2: Convert to fraction form
    1,008,907,850.40/1,513,361,775.60 = 1,008,907,850.40/x
  3. Step 3: Cross multiply
    1,008,907,850.40x = 1,513,361,775.60 × 1,008,907,850.40
  4. Step 4: Simplify right side
    1,008,907,850.40x = 1,526,842,575,898,123,008
  5. Step 5: Solve for x
    x = 1,526,842,575,898,123,008/1,008,907,850.40
  6. Step 6: Final answer
    x = 1,513,361,775.60

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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.