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Finding the Fourth Proportional to 314,874,432,037.80, 472,311,648,056.70 and 314,874,432,037.80

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Solution

The fourth proportional to 314,874,432,037.80, 472,311,648,056.70 and 314,874,432,037.80 is: 472,311,648,056.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,874,432,037.80 : 472,311,648,056.70 = 314,874,432,037.80 : x
  2. Step 2: Convert to fraction form
    314,874,432,037.80/472,311,648,056.70 = 314,874,432,037.80/x
  3. Step 3: Cross multiply
    314,874,432,037.80x = 472,311,648,056.70 × 314,874,432,037.80
  4. Step 4: Simplify right side
    314,874,432,037.80x = 148,718,861,926,690,690,433,024
  5. Step 5: Solve for x
    x = 148,718,861,926,690,690,433,024/314,874,432,037.80
  6. Step 6: Final answer
    x = 472,311,648,056.70

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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.