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Finding the Fourth Proportional to 314,874,432,002.19, 472,311,648,003.24 and 314,874,432,002.19

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Solution

The fourth proportional to 314,874,432,002.19, 472,311,648,003.24 and 314,874,432,002.19 is: 472,311,648,003.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,874,432,002.19 : 472,311,648,003.24 = 314,874,432,002.19 : x
  2. Step 2: Convert to fraction form
    314,874,432,002.19/472,311,648,003.24 = 314,874,432,002.19/x
  3. Step 3: Cross multiply
    314,874,432,002.19x = 472,311,648,003.24 × 314,874,432,002.19
  4. Step 4: Simplify right side
    314,874,432,002.19x = 148,718,861,893,038,497,595,392
  5. Step 5: Solve for x
    x = 148,718,861,893,038,497,595,392/314,874,432,002.19
  6. Step 6: Final answer
    x = 472,311,648,003.24

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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.