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Finding the Fourth Proportional to 314,874,433,265.55, 472,311,649,898.32 and 314,874,433,265.55

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Solution

The fourth proportional to 314,874,433,265.55, 472,311,649,898.32 and 314,874,433,265.55 is: 472,311,649,898.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,874,433,265.55 : 472,311,649,898.32 = 314,874,433,265.55 : x
  2. Step 2: Convert to fraction form
    314,874,433,265.55/472,311,649,898.32 = 314,874,433,265.55/x
  3. Step 3: Cross multiply
    314,874,433,265.55x = 472,311,649,898.32 × 314,874,433,265.55
  4. Step 4: Simplify right side
    314,874,433,265.55x = 148,718,863,086,450,374,606,848
  5. Step 5: Solve for x
    x = 148,718,863,086,450,374,606,848/314,874,433,265.55
  6. Step 6: Final answer
    x = 472,311,649,898.32

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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.