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Finding the Fourth Proportional to 166,075,772.80, 249,113,659.20 and 166,075,772.80

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Solution

The fourth proportional to 166,075,772.80, 249,113,659.20 and 166,075,772.80 is: 249,113,659.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,075,772.80 : 249,113,659.20 = 166,075,772.80 : x
  2. Step 2: Convert to fraction form
    166,075,772.80/249,113,659.20 = 166,075,772.80/x
  3. Step 3: Cross multiply
    166,075,772.80x = 249,113,659.20 × 166,075,772.80
  4. Step 4: Simplify right side
    166,075,772.80x = 41,371,743,466,675,832
  5. Step 5: Solve for x
    x = 41,371,743,466,675,832/166,075,772.80
  6. Step 6: Final answer
    x = 249,113,659.20

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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.