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Finding the Fourth Proportional to 211,774,846.40, 295,880,123.20 and 211,774,846.40

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Solution

The fourth proportional to 211,774,846.40, 295,880,123.20 and 211,774,846.40 is: 295,880,123.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,774,846.40 : 295,880,123.20 = 211,774,846.40 : x
  2. Step 2: Convert to fraction form
    211,774,846.40/295,880,123.20 = 211,774,846.40/x
  3. Step 3: Cross multiply
    211,774,846.40x = 295,880,123.20 × 211,774,846.40
  4. Step 4: Simplify right side
    211,774,846.40x = 62,659,967,643,493,072
  5. Step 5: Solve for x
    x = 62,659,967,643,493,072/211,774,846.40
  6. Step 6: Final answer
    x = 295,880,123.20

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.