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Finding the Fourth Proportional to 314,874,432,811.05, 472,311,649,216.57 and 314,874,432,811.05

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Solution

The fourth proportional to 314,874,432,811.05, 472,311,649,216.57 and 314,874,432,811.05 is: 472,311,649,216.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,874,432,811.05 : 472,311,649,216.57 = 314,874,432,811.05 : x
  2. Step 2: Convert to fraction form
    314,874,432,811.05/472,311,649,216.57 = 314,874,432,811.05/x
  3. Step 3: Cross multiply
    314,874,432,811.05x = 472,311,649,216.57 × 314,874,432,811.05
  4. Step 4: Simplify right side
    314,874,432,811.05x = 148,718,862,657,119,085,133,824
  5. Step 5: Solve for x
    x = 148,718,862,657,119,085,133,824/314,874,432,811.05
  6. Step 6: Final answer
    x = 472,311,649,216.57

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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.