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Finding the Fourth Proportional to 12,574,859,793.20, 18,862,289,689.80 and 12,574,859,793.20

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Solution

The fourth proportional to 12,574,859,793.20, 18,862,289,689.80 and 12,574,859,793.20 is: 18,862,289,689.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,574,859,793.20 : 18,862,289,689.80 = 12,574,859,793.20 : x
  2. Step 2: Convert to fraction form
    12,574,859,793.20/18,862,289,689.80 = 12,574,859,793.20/x
  3. Step 3: Cross multiply
    12,574,859,793.20x = 18,862,289,689.80 × 12,574,859,793.20
  4. Step 4: Simplify right side
    12,574,859,793.20x = 237,190,648,227,956,916,224
  5. Step 5: Solve for x
    x = 237,190,648,227,956,916,224/12,574,859,793.20
  6. Step 6: Final answer
    x = 18,862,289,689.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.