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Finding the Fourth Proportional to 318,075,491.40, 476,441,390.70 and 318,075,491.40

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Solution

The fourth proportional to 318,075,491.40, 476,441,390.70 and 318,075,491.40 is: 476,441,390.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,075,491.40 : 476,441,390.70 = 318,075,491.40 : x
  2. Step 2: Convert to fraction form
    318,075,491.40/476,441,390.70 = 318,075,491.40/x
  3. Step 3: Cross multiply
    318,075,491.40x = 476,441,390.70 × 318,075,491.40
  4. Step 4: Simplify right side
    318,075,491.40x = 151,544,329,470,201,888
  5. Step 5: Solve for x
    x = 151,544,329,470,201,888/318,075,491.40
  6. Step 6: Final answer
    x = 476,441,390.70

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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.