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Finding the Fourth Proportional to 12,289,938.30, 18,434,907.45 and 12,289,938.30

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Solution

The fourth proportional to 12,289,938.30, 18,434,907.45 and 12,289,938.30 is: 18,434,907.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,289,938.30 : 18,434,907.45 = 12,289,938.30 : x
  2. Step 2: Convert to fraction form
    12,289,938.30/18,434,907.45 = 12,289,938.30/x
  3. Step 3: Cross multiply
    12,289,938.30x = 18,434,907.45 × 12,289,938.30
  4. Step 4: Simplify right side
    12,289,938.30x = 226,563,875,126,710.34
  5. Step 5: Solve for x
    x = 226,563,875,126,710.34/12,289,938.30
  6. Step 6: Final answer
    x = 18,434,907.45

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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.