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Finding the Fourth Proportional to 179,392,801,643.40, 269,089,202,465.10 and 179,392,801,643.40

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Solution

The fourth proportional to 179,392,801,643.40, 269,089,202,465.10 and 179,392,801,643.40 is: 269,089,202,465.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,392,801,643.40 : 269,089,202,465.10 = 179,392,801,643.40 : x
  2. Step 2: Convert to fraction form
    179,392,801,643.40/269,089,202,465.10 = 179,392,801,643.40/x
  3. Step 3: Cross multiply
    179,392,801,643.40x = 269,089,202,465.10 × 179,392,801,643.40
  4. Step 4: Simplify right side
    179,392,801,643.40x = 48,272,665,922,202,385,776,640
  5. Step 5: Solve for x
    x = 48,272,665,922,202,385,776,640/179,392,801,643.40
  6. Step 6: Final answer
    x = 269,089,202,465.10

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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.