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Finding the Fourth Proportional to 20,403,403,315.20, 30,605,104,972.80 and 20,403,403,315.20

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Solution

The fourth proportional to 20,403,403,315.20, 30,605,104,972.80 and 20,403,403,315.20 is: 30,605,104,972.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,403,403,315.20 : 30,605,104,972.80 = 20,403,403,315.20 : x
  2. Step 2: Convert to fraction form
    20,403,403,315.20/30,605,104,972.80 = 20,403,403,315.20/x
  3. Step 3: Cross multiply
    20,403,403,315.20x = 30,605,104,972.80 × 20,403,403,315.20
  4. Step 4: Simplify right side
    20,403,403,315.20x = 624,448,300,264,071,495,680
  5. Step 5: Solve for x
    x = 624,448,300,264,071,495,680/20,403,403,315.20
  6. Step 6: Final answer
    x = 30,605,104,972.80

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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.