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Finding the Fourth Proportional to 314,874,432,419.55, 472,311,648,629.32 and 314,874,432,419.55

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Solution

The fourth proportional to 314,874,432,419.55, 472,311,648,629.32 and 314,874,432,419.55 is: 472,311,648,629.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,874,432,419.55 : 472,311,648,629.32 = 314,874,432,419.55 : x
  2. Step 2: Convert to fraction form
    314,874,432,419.55/472,311,648,629.32 = 314,874,432,419.55/x
  3. Step 3: Cross multiply
    314,874,432,419.55x = 472,311,648,629.32 × 314,874,432,419.55
  4. Step 4: Simplify right side
    314,874,432,419.55x = 148,718,862,287,299,063,840,768
  5. Step 5: Solve for x
    x = 148,718,862,287,299,063,840,768/314,874,432,419.55
  6. Step 6: Final answer
    x = 472,311,648,629.32

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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.