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Finding the Fourth Proportional to 154,525,307,920.40, 231,787,961,880.60 and 154,525,307,920.40

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Solution

The fourth proportional to 154,525,307,920.40, 231,787,961,880.60 and 154,525,307,920.40 is: 231,787,961,880.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,525,307,920.40 : 231,787,961,880.60 = 154,525,307,920.40 : x
  2. Step 2: Convert to fraction form
    154,525,307,920.40/231,787,961,880.60 = 154,525,307,920.40/x
  3. Step 3: Cross multiply
    154,525,307,920.40x = 231,787,961,880.60 × 154,525,307,920.40
  4. Step 4: Simplify right side
    154,525,307,920.40x = 35,817,106,181,841,651,499,008
  5. Step 5: Solve for x
    x = 35,817,106,181,841,651,499,008/154,525,307,920.40
  6. Step 6: Final answer
    x = 231,787,961,880.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.