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Finding the Fourth Proportional to 214,075,472.10, 300,310,322.70 and 214,075,472.10

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Solution

The fourth proportional to 214,075,472.10, 300,310,322.70 and 214,075,472.10 is: 300,310,322.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,075,472.10 : 300,310,322.70 = 214,075,472.10 : x
  2. Step 2: Convert to fraction form
    214,075,472.10/300,310,322.70 = 214,075,472.10/x
  3. Step 3: Cross multiply
    214,075,472.10x = 300,310,322.70 × 214,075,472.10
  4. Step 4: Simplify right side
    214,075,472.10x = 64,289,074,108,505,840
  5. Step 5: Solve for x
    x = 64,289,074,108,505,840/214,075,472.10
  6. Step 6: Final answer
    x = 300,310,322.70

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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.