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Finding the Fourth Proportional to 13,429,809,713.40, 20,105,972,521.20 and 13,429,809,713.40

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Solution

The fourth proportional to 13,429,809,713.40, 20,105,972,521.20 and 13,429,809,713.40 is: 20,105,972,521.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,429,809,713.40 : 20,105,972,521.20 = 13,429,809,713.40 : x
  2. Step 2: Convert to fraction form
    13,429,809,713.40/20,105,972,521.20 = 13,429,809,713.40/x
  3. Step 3: Cross multiply
    13,429,809,713.40x = 20,105,972,521.20 × 13,429,809,713.40
  4. Step 4: Simplify right side
    13,429,809,713.40x = 270,019,385,062,565,249,024
  5. Step 5: Solve for x
    x = 270,019,385,062,565,249,024/13,429,809,713.40
  6. Step 6: Final answer
    x = 20,105,972,521.20

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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.