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Finding the Fourth Proportional to 129,364,364,267.55, 194,046,546,401.33 and 129,364,364,267.55

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Solution

The fourth proportional to 129,364,364,267.55, 194,046,546,401.33 and 129,364,364,267.55 is: 194,046,546,401.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,364,364,267.55 : 194,046,546,401.33 = 129,364,364,267.55 : x
  2. Step 2: Convert to fraction form
    129,364,364,267.55/194,046,546,401.33 = 129,364,364,267.55/x
  3. Step 3: Cross multiply
    129,364,364,267.55x = 194,046,546,401.33 × 129,364,364,267.55
  4. Step 4: Simplify right side
    129,364,364,267.55x = 25,102,708,113,521,694,998,528
  5. Step 5: Solve for x
    x = 25,102,708,113,521,694,998,528/129,364,364,267.55
  6. Step 6: Final answer
    x = 194,046,546,401.33

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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.