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Finding the Fourth Proportional to 267,461,015.80, 401,191,523.70 and 152,669,759.80

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Solution

The fourth proportional to 267,461,015.80, 401,191,523.70 and 152,669,759.80 is: 229,004,639.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,461,015.80 : 401,191,523.70 = 152,669,759.80 : x
  2. Step 2: Convert to fraction form
    267,461,015.80/401,191,523.70 = 152,669,759.80/x
  3. Step 3: Cross multiply
    267,461,015.80x = 401,191,523.70 × 152,669,759.80
  4. Step 4: Simplify right side
    267,461,015.80x = 61,249,813,557,075,008
  5. Step 5: Solve for x
    x = 61,249,813,557,075,008/267,461,015.80
  6. Step 6: Final answer
    x = 229,004,639.70

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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.