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Finding the Fourth Proportional to 9,966,267,361.80, 14,949,401,042.70 and 9,966,267,361.80

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Solution

The fourth proportional to 9,966,267,361.80, 14,949,401,042.70 and 9,966,267,361.80 is: 14,949,401,042.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,966,267,361.80 : 14,949,401,042.70 = 9,966,267,361.80 : x
  2. Step 2: Convert to fraction form
    9,966,267,361.80/14,949,401,042.70 = 9,966,267,361.80/x
  3. Step 3: Cross multiply
    9,966,267,361.80x = 14,949,401,042.70 × 9,966,267,361.80
  4. Step 4: Simplify right side
    9,966,267,361.80x = 148,989,727,690,319,888,384
  5. Step 5: Solve for x
    x = 148,989,727,690,319,888,384/9,966,267,361.80
  6. Step 6: Final answer
    x = 14,949,401,042.70

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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.