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Finding the Fourth Proportional to 166,109,715.30, 249,164,572.95 and 166,109,715.30

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Solution

The fourth proportional to 166,109,715.30, 249,164,572.95 and 166,109,715.30 is: 249,164,572.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,109,715.30 : 249,164,572.95 = 166,109,715.30 : x
  2. Step 2: Convert to fraction form
    166,109,715.30/249,164,572.95 = 166,109,715.30/x
  3. Step 3: Cross multiply
    166,109,715.30x = 249,164,572.95 × 166,109,715.30
  4. Step 4: Simplify right side
    166,109,715.30x = 41,388,656,275,570,584
  5. Step 5: Solve for x
    x = 41,388,656,275,570,584/166,109,715.30
  6. Step 6: Final answer
    x = 249,164,572.95

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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.