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Finding the Fourth Proportional to 1,584,207,324,063.50, 2,376,310,986,095.20 and 1,584,207,324,063.50

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Solution

The fourth proportional to 1,584,207,324,063.50, 2,376,310,986,095.20 and 1,584,207,324,063.50 is: 2,376,310,986,095.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,584,207,324,063.50 : 2,376,310,986,095.20 = 1,584,207,324,063.50 : x
  2. Step 2: Convert to fraction form
    1,584,207,324,063.50/2,376,310,986,095.20 = 1,584,207,324,063.50/x
  3. Step 3: Cross multiply
    1,584,207,324,063.50x = 2,376,310,986,095.20 × 1,584,207,324,063.50
  4. Step 4: Simplify right side
    1,584,207,324,063.50x = 3,764,569,268,424,573,798,318,080
  5. Step 5: Solve for x
    x = 3,764,569,268,424,573,798,318,080/1,584,207,324,063.50
  6. Step 6: Final answer
    x = 2,376,310,986,095.20

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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.