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Finding the Fourth Proportional to 907,848,276.15, 1,361,772,414.23 and 907,848,276.15

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Solution

The fourth proportional to 907,848,276.15, 1,361,772,414.23 and 907,848,276.15 is: 1,361,772,414.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    907,848,276.15 : 1,361,772,414.23 = 907,848,276.15 : x
  2. Step 2: Convert to fraction form
    907,848,276.15/1,361,772,414.23 = 907,848,276.15/x
  3. Step 3: Cross multiply
    907,848,276.15x = 1,361,772,414.23 × 907,848,276.15
  4. Step 4: Simplify right side
    907,848,276.15x = 1,236,282,738,762,789,888
  5. Step 5: Solve for x
    x = 1,236,282,738,762,789,888/907,848,276.15
  6. Step 6: Final answer
    x = 1,361,772,414.23

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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.